Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Optimization-Problems

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

- Proof: d/dx(x^n)
- Proof: d/dx(sqrt(x))
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(e^x) = e^x
- Proofs of Derivatives of Ln(x) and e^x
- Calculus: Derivative of x^(x^x)
- Extreme Derivative Word Problem (advanced)

- Introduction to the Line Integral
- Line Integral Example 1
- Line Integral Example 2 (part 1)
- Line Integral Example 2 (part 2)

- Maxima Minima Slope Intuition
- Inflection Points and Concavity Intuition
- Monotonicity Theorem
- Calculus: Maximum and minimum values on an interval
- Calculus: Graphing Using Derivatives
- Calculus Graphing with Derivatives Example
- Graphing with Calculus

word problems

This video begins a study of optimization by considering a simple optimization problem.

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This video solves an interesting problem of optimizing the figures cut from a piece of wire.

This video solves a more complicated problem involving optimizing a construction for cost.

This video uses the chain rule to address a rate of change problem involving a cone filling up.

This video derives the equation of a line tangent to a curve.

A simpler rate-of-change problem involving ripple emanating from a point on a lake.

This video presents the classic rate-of-change problem involving a ladder moving away from a wall.

This video presents the important Mean Value Theorem, with applications.