Applying derivatives to analyze functions
The first and the second derivative of a function can be used to obtain a lot of information about the behavior of that function. For example, the first derivative tells us where a function increases or decreases and where it has maximum or minimum points; the second derivative tells us where a function is concave up or down and where it has inflection points.
This course contains 13 segments:
Using the mean value theorem
Extreme value theorem, global versus local extrema, and critical points
Determining intervals on which a function is increasing or decreasing
Using the first derivative test to find relative (local) extrema
Using the candidates test to find absolute (global) extrema
Determining concavity of intervals and finding points of inflection: graphical
Determining concavity of intervals and finding points of inflection: algebraic
Using the second derivative test to find extrema
Sketching curves of functions and their derivatives
Connecting a function, its first derivative, and its second derivative
Solving optimization problems
Exploring behaviors of implicit relations
Calculator-active practice
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Rating | Not enough ratings |
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Length | 13 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
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Rating | Not enough ratings |
---|---|
Length | 13 segments |
Starts | On Demand (Start anytime) |
Cost | Free |
From | Khan Academy |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Math |
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