Calculus

# Applying derivatives to analyze functions

- 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

Register for a session to review this topic with a small group of learners.

Af

Calculus · series session

#### Applying derivatives to analyze functions

You will use derivatives for optimization, as well as carrying along with applying derivatives to real world scenarios!

IS

SF

Sam F and Isahi S

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14/20

Af

Calculus · series session

#### Applying derivatives to analyze functions

Introduction to second derivatives and concavity

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RG

Rodas G

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Registration full.

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