Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Minima-and-Maxima

TABLE OF CONTENTS

- Limits
- Derivatives
- The Chain Rule
- Derivatives of Special Functions
- Implicit Differentiation
- Minima and Maxima
- Optimization Problems
- Indefinite Integrals
- Definite Integrals
- Solids of Revolution
- Sequences and Series
- Polynomial Approximations
- Partial derivatives
- AP Calculus BC
- Partial Derivatives
- Double Integrals
- Line Integrals I
- Vectors
- Line Integrals II
- Green's Theorem
- L'Hospital's Rule

- Partial Derivatives
- Partial derivatives
- Partial Derivatives 2
- Gradient 1
- Gradient of a scalar field
- Divergence 1
- Divergence 2
- Divergence 3
- Curl 1
- Curl 2
- Curl 3

- Implicit Differentiation
- Implicit Differentiation (part 2)
- More implicit differentiation
- More chain rule and implicit differentiation intuition
- Trig Implicit Differentiation Example

- Optimization with Calculus 1
- Optimization with Calculus 2
- Optimization with Calculus 3
- Optimization Example 4
- Introduction to rate-of-change problems
- Equation of a tangent line
- Rates-of-change (part 2)
- Ladder rate-of-change problem
- Mean Value Theorem

graphing

A video motivating maxima and minima problems from the notion of zero slope.

Using inflection points and measuring concavity; the second derivative in minima and maxima problems.

This video describes the monotonicity theorem and applies it to various functions.

This video explores critical points to analyze the behavior of functions on intervals.

This video explores the behavior of a polynomial by applying the lessons of critical points.

This video uses critical points analysis to graph a more complicated ln function.

This video explores drawing a graph of a function without knowing the function; only its critical values.