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.

Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....

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 plan, students solve functions by taking the derivative, sketch tangent lines and estimate the slope of the line using the derivative. They graph and...

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...

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...

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...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

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

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...

Students construct the graph of derivatives using a tangent line.  In 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 line. ...

Learn to solve functions by taking the derivatives. For this calculus lesson, young scholars 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.

Learners graph the derivative of functions in this calculus instructional activity. 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 instructional activity, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page instructional activity contains three multi-step problems.

In this derivatives activity, 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...

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

Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...

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 instructional activity, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page instructional activity contains 22 multi-step problems.