Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
Flipped Math
Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
Curated OER
Graphing of Functions Using First and Second Derivatives
In this calculus worksheet, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
Flipped Math
Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
CK-12 Foundation
Higher Order Derivatives—Acceleration and Jerk
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Curated OER
Applications of First and Second Derivatives.
In this calculus worksheet, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Curated OER
The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam instructional activity, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Curated OER
Sudoku Puzzle with Derivatives
In this Sudoku puzzle worksheet, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page worksheet contains 26 problems. Answers are provided on the last page.
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
Curated OER
Eighteen Higher Order Derivative Problems
In this higher order derivatives worksheet, students find the first, second, or third derivative in eighteen problems. Students also evaluate derivatives for given values.
Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives learning exercise, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems...
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Curated OER
Math 155 - Worksheet 5. Derivative
For this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
Curated OER
Derivative
In this derivative worksheet, students determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
Curated OER
Practice Test for Midterm: Partial Derivatives
In this partial derivatives worksheet, learners use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives learning exercise, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page learning exercise contains...
Curated OER
The Chain Rule
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Curated OER
AP Calculus Practice Exam 2008
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...