Applications of Derivatives

Video Links

Curve Sketching with Derivatives

Extreme Value Theorem


Applying the Extreme Value Theorem


Finding Critical Numbers


Maxima, Minima, and Critical Points


Finding Relative Max/Min Values


Finding Maxima and Minima Example


Mean Value Theorem


Intuition Behind the Mean Value Theorem


Finding Where the Derivative is Equal to the Average Rate of Change


Concavity


Recognizing Concavity


Points of Inflection


Graphing with Derivatives- Example 1


Graphing with Derivatives- Example 2


Linearization/Optimization/Related Rates

Tangent Line Approximation

Linearization


Local Linearization


Linearization Example


Newton’s Method


Optimization

Optimization- Example Volume of Box


Optimization- Example Maximize Profit


Optimization- Example Minimize Cost


Related Rates

Related Rates- Example Change in Balloon Height


Related Rates- Example Water from an Inverted Cone


Related Rates- Example Falling Ladder


Related Rates- Example Distance Between Cars


Related Rates- Example Shadow from Lamp Post


 

Class Notes (Coming Soon)

Advertisements