Graphing Derivatives Teacher Resources

Find Graphing Derivatives lesson plans and worksheets
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Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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Graph Of The Derivative

For Teachers 11th - 12th
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Worksheet 9 - Functions

For Teachers Higher Ed
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
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Derivative Grapher

For Teachers 11th - 12th
Follow the slope in real time. Using graphs created with Desmos, pupils compare the graph of a function to the graph of its derivative. Pairs then work together to create derivative graphs of their own.
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Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
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Derivative Trace

For Teachers 11th - 12th
Students construct the graph of derivatives using a tangent line.  In this construction of a graph of a derivative instructional activity, students use their Ti-Nspire to drag a tangent line along a graph.  Students graph the slope of...
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Seeing is Believing: Derivatives

For Teachers 9th - Higher Ed Standards
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
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From F to F

For Students 11th - 12th
In this derivatives learning exercise, learners solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
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Drip, Drop, Drip, Drop

For Teachers 6th - 9th
Design an experiment to model a leaky faucet and determine the amount of water wasted due to the leak. Middle schoolers graph and write an equation for a line of best fit. They use their derived equation to make predictions about the...
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Derivative Grapher

For Teachers 9th - 12th Standards
Learners graph the derivative of functions in this calculus lesson plan. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Graphs and Derivatives

For Students 9th - 12th
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
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Worksheet 22-Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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Worksheet 3: Graphing Speed and Time

For Teachers 12th - Higher Ed
In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.
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Graph And Their Derived Function

For Teachers 10th - 12th
Students analyze graphs and determine their general shape. In this calculus lesson, students solve functions by taking the derivative, sketch tangent lines and estimate the slope of the line using the derivative. They graph and analyze...
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Cubic Polynomial

For Students 11th - Higher Ed
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
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The Derivative As a Function

For Students Higher Ed
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
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Getting Ready to Find Antiderivatives

For Teachers 10th - 12th
Young scholars find antiderivatives.  In this antiderivative instructional activity, students use their calculator to compare given derivatives.  They graph derivatives and explore a family of functions.
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Challenge Discussion Sheet 4

For Students Higher Ed
in this derivative worksheet, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
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Senior Analysis: Derivatives by Definition

For Students 11th - Higher Ed
In this derivative worksheet, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page worksheet contains 22 multi-step problems.
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Calculus Review Worksheet

For Students 11th - Higher Ed
For this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.
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Curve Sketching

For Students 11th - 12th
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Piecewise Functions, Continuity, and Differentiability

For Teachers 9th - 12th
Students explore the concept of piecewise functions.  In this piecewise functions lesson, students find the derivatives of piecewise functions.  Students determine points of discontinuity and jumps in the graph using their Ti-89 calculator.
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Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
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The Gaseous State

For Students 7th - 12th Standards
Sixth in a series of 36, this lesson focuses on gases and their behavior in given situations. Learners review the states of matter and then focus on gases, specifically learning Boyle's, Charles's, Avogadro's Laws, Dalton's, and Graham's...
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What Does the Graph of the Cosine Function Look Like?

For Teachers 10th - 12th
Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the cosine graph by translating the x-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...
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Graphical Derivatives

For Teachers 9th - 12th Standards
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
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Symmetric Secant

For Teachers 9th - 12th Standards
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, high schoolers create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
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AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, learners solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Sudoku Puzzle: Logs and Exponentials

For Students 11th - 12th
In this logarithms and exponential worksheet, students solve 29 multiple choice problems.  Students use their answers to solve a sudoku puzzle.
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AP Calculus Practice Exam 2008

For Students 11th - 12th
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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Calculus Grapher

For Teachers 8th - 12th Standards
Learners draw a graph of any function to see its derivative and integral in this simple, yet informative, simulation. Other options include manipulating the scale, the shape of the graph, and the angle. 
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Listen and Line Up

For Teachers 9th - 12th Standards
High schoolers practice the derivative using an interactive activity. In this calculus lesson they explore the derivative by playing a game. Each student gets a turn at being the caller.
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AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus learning exercise, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Graphs of Functions and Their Derivatives

For Teachers 9th - 12th
High schoolers practice the concept of graphing associated to a function with its derivative. They define the concepts of increasing and decreasing function behavior and explore graphical and symbolic designs to show why the derivative...
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Derivatives of Elementary Functions

For Students Higher Ed
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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Definition of the Derivative

For Teachers 11th - 12th
Students find the derivatives of functions.  In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Students discuss scenarios in which the derivative does...
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Computing Derivatives

For Students Higher Ed
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not...
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Worksheet 1

For Students 11th - Higher Ed
In this math activity, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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AP Calculus Practice Exam

For Students 12th
In this Calculus worksheet, 12th graders are provided with practice problems for their exam.  Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution.  The four...
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Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems.  These problems are designed as review and preparation for the AP Calculus Exam.
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Highs and Lows

For Teachers 8th - 11th
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Worksheet 11 - Points of Discontinuity

For Teachers Higher Ed
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
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Let's Get To the Core!

For Teachers 4th - 5th
Students practice analyzing ice core samples to discover climate changes. Using the samples, they identify and graph the gas amounts. They use these numbers to determine their effect on global warming. In pairs, they complete a...
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Mean Value Theorem

For Students 11th - 12th
In this mean value theorem worksheet, learners solve and complete 8 various types of problems. First, they sketch the graph of a function and find all local and absolute extrema on the interval given. Then, students find the critical...
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Mini Exam on Calculus

For Students 11th - 12th
In this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
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Calculus Practice BC

For Students 12th - Higher Ed
In this calculus learning exercise, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
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Functions and Differentiation

For Students 11th - 12th
For this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
For this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator.  This worksheet should be completed in fifty-five minutes.
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AP Calculus Practice Exam BC Version- Section I -Part B

For Students 12th - Higher Ed
In this AP Calculus Practice Exam activity, students solve seventeen multiple-choice questions using a graphing calculator.  This BC practice test is designed to be finished in fifty minutes.
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Sixteen Multiple Choice AP Calculus AB Exam Practice Questions

For Students 11th - Higher Ed
In this AP Calculus AB Exam worksheet, students answer sixteen multiple choice questions in preparation for the AP Exam.  These questions include many topics covered on the exam.
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Seventeen Multiple Choice Calculator AP Calculus BC Practice Test

For Students 12th - Higher Ed
In this AP Calculus BC instructional activity, students answer seventeen multiple choice questions with the use of a calculator.  The questions are a fifty minutes times practice test for the AP exam.
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A.P. Calculus Practice Exam BC Version Section I Part B

For Students 12th - Higher Ed
In this AP Calculus practice test worksheet, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator.  The test should be timed and 50 minutes in length.
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Converging Series

For Students 10th - Higher Ed
For this functions worksheet, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
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Average Value of a Function

For Students 12th
In this calculus learning exercise, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.

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Graphing Derivatives