Curve Sketching - Graphing Functions Using Derivatives

This calculus video tutorial provides a basic introduction into curve sketching. it explains how to graph polynomial functions using the signs of the first derivative and the second derivative of a function. You need to identify the critical numbers and potential inflection points in addition to the concavity of the graph. You need to combine the sign charts of the first derivative and second derivative into one single sign chart using a number line. This will help you to get the right shape of the graph. It's helpful to identify any x-intercepts in the function as well as the y-coordinates of the relative maximum and relative minimum. This will help you to draw an accurate sketch. This video has a few examples and practice problems.

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Видео Curve Sketching - Graphing Functions Using Derivatives канала The Organic Chemistry Tutor