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

Calculus · series session

#### Applying derivatives to analyze functions

Joshua L

Calculus · series session

#### Applying derivatives to analyze functions

Kritan S

Calculus · series session

#### Applying derivatives to analyze functions

Sara Y

Calculus · series session

#### Applying derivatives to analyze functions

Sara Y

Calculus · session

#### critical points on curves

William W

Calculus · session

#### Derivatives in Usage and Fuctions

Kevin D

Calculus · series session

#### Applying derivatives to analyze functions

Keira L

Calculus · series session

#### Applying derivatives to analyze functions

Avaneesh M

Calculus · series session

#### Applying derivatives to analyze functions

Hunter N

Calculus · series session

#### Applying derivatives to analyze functions

Avaneesh M

Calculus · series session

#### Applying derivatives to analyze functions

Brian W

Calculus · series session

#### Applying derivatives to analyze functions

Caleb K

Calculus · series session

#### Applying derivatives to analyze functions

Hunter N

Calculus · session

#### Extrema in Polynomials

Sophia D

Calculus · session

#### Usages of Derivatives

Kevin D

Calculus · series session

#### Applying derivatives to analyze functions

Vince K

Calculus · series session

#### Applying derivatives to analyze functions

Pranav I

Calculus · session

#### Optimization Problems

Sophia D

Calculus · session

#### Optimization Problems

Sophia D

Calculus · series session

#### Applying derivatives to analyze functions

Rahul S

Calculus · series session

#### Applying derivatives to analyze functions

Hunter N

Calculus · session

#### Usages of derivatives

Kevin D

Calculus · series session

#### Applying derivatives to analyze functions

Siddharth P

Calculus · series session

#### Applying derivatives to analyze functions

Siddharth P