# Derivative Curve from Function Curve

Taught by TheMathDude
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Lesson Summary:

In this lesson, you will learn how to construct or identify a Cartesian graph of the derivative of a function given the Cartesian graph of the function or vice versa. Using a Java program, the instructor demonstrates how to plot the slope of the tangent line at a particular input on the same graph as the original function to create a new function, the derivative curve. Through this process, students will learn about horizontal tangents, inflection points, and how to determine whether a derivative curve has a maximum or minimum value. By the end of the lesson, students will be able to sketch a rough derivative curve by hand or use technology to generate an accurate one.

Lesson Description:

Be able to construct or identify a Cartesian graph of the derivative of a function given the Cartesian graph of the function or vice versa.

Check out www.themathdude.org for more videos.

• Derivative Function Applet - Java Applet that can help you see how the slope of the tangent at every input on a function can be itself be a new output of a new function which is the derivative of the given function
• Derivative as the Slope of the Tangent - Java Applet that can help you see how the slope of the tangent at every input on a function can be itself be a new output of a new function which is the derivative of the given function
• Function and Derivative Graphs Exercise - Drawing a derivative graph from a function and vice versa -- 2 example graphs are in this problem set
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