2021年7月25日 · Learn how to graph a derivative and how to analyze a derivative graph to find extrema, increasing/decreasing intervals and concavity.

To sketch the derivative graph of a function: Mark zeros at the locations of any turning points or stationary inflection points. Draw the derivative graph above the x-axis where the function is increasing. Draw the derivative graph below the x-axis where the function is decreasing. Draw turning points at the location of any inflection points.

Have fun with derivatives! Type in a function and see its slope below (as calculated by the program). Then see if you can figure out the derivative yourself.

Graph a derivative function from the graph of a given function; State the connection between derivatives and continuity; Describe three conditions for when a function does not have a derivative

2025年1月17日 · Use concavity and inflection points to explain how the sign of the second derivative affects the shape of a function’s graph. Explain the concavity test for a function over an open interval. Explain the relationship between a function and its first and second derivatives.

Master Basic Graphing of the Derivative with free video lessons, step-by-step explanations, practice problems, examples, and FAQs. Learn from expert tutors and get exam-ready!

35 Derivatives and Graphs As we’ve seen, one of the most important connections between a function and its derivative is that a positive derivative means the quantity is increasing, and a negative derivative means the quantity is decreasing.