Explore graphical connections between functions and derivatives in this Khan Academy video lesson.

AP®︎ Calculus AB (2017 edition) Course: AP®︎ Calculus AB (2017 edition) > Unit 6 Lesson 9: Connecting ƒ, ƒ’, and ƒ’’ The graphical relationship between a function & its derivative (part 1) The …

You can think of an inflection point as a point where the curvature of the graph changes (concave up to concave down or vice versa). In other words, the concavity changes its sign.

Discover how the derivative of a function reveals the slope of the tangent line at any point on the graph. We'll explore how to use this powerful tool to determine the equation of the tangent line, enhancing …

Now that we know the second derivative, we can answer the question, is my graph concave upwards or downwards at either of these points? So let's figure out what, at either of these critical points.

Given the graph of the first or second derivative of a function, identify where the function has a point of inflection.

The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point.

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Given the graph of a function, Sal sketches the graph of its derivative. Created by Sal Khan.

Learn what local maxima/minima look like for multivariable function.