Graphing Derivatives Teacher Resources

In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.

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...

For this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.

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.

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...

Students construct the graph of derivatives using a tangent line.  For this construction of a graph of a derivative lesson, students use their Ti-Nspire to drag a tangent line along a graph.  Students graph the slope of the tangent...

Learn to solve functions by taking the derivatives. In this calculus lesson, learners compare the graph of a derivative to that of the original function.

In this derivatives worksheet, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.

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...

Learners graph the derivative of functions in this calculus lesson. 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.

In this graphs and derivatives learning exercise, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page learning exercise contains three multi-step problems.

In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.

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...

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...

In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.

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...

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...

Students find antiderivatives.  In this antiderivative lesson, students use their calculator to compare given derivatives.  They graph derivatives and explore a family of functions.

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...

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.

In 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.

In this calculus activity, 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.

Students explore the concept of piecewise functions.  In this piecewise functions activity, students find the derivatives of piecewise functions.  Students determine points of discontinuity and jumps in the graph using their Ti-89...

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...