27 videos in "Derivatives / Rules of Derivatives"

Introduction to Derivatives

The Derivative

Calculation of Derivatives

Derivatives of Trigonometric Functions

Leibniz Notation and the Chain Rule

Rectilinear Motion

HigherOrder Derivatives

Critical Numbers and the First Derivative Test

Concavity and the Second Derivative Test

The Power Rule

Derivatives Part 1

Derivatives Part 2

Derivatives Part 3

[C.2] Numerical Derivative

[C.3] Elasticity

Derivative of a SumProductQuotientComposition

Sign of Derivative and Increasing or Decreasing

Increasing or Decreasing Derviative from Function

Cartesian Graphs and the Second Derivative

Excel Project 1  Acceleration of Sales

Notations and Power Rule

Chain Rule

Derivative of Exponential

Max and Min

Elasticity Part 1

Elasticity Part 2

Elasticity Part 3  Calculator
Max and Min
 Maximize Revenue Notes  Notes on how to maximize revenue
 Marginal Cost Explanation  An explanation of maximizing profit using the Marginal costmarginal revenue method  look about halfway down the page for the explanation.
 Definition of marginal cost  Definitions of such words as marginal benefit, marginal cost, and marginal profit
 Average Cost Explanation  An explanation of average cost with formula included
 Marginal Cost Explanation  An explanation of marginal cost and what it means including formulas
 How can you find the maximum or minimum values of a function?
 How can you find the max or min values of a function by using the MAX and MIN functions on a TI graphing calculator?
 How can you find the max or min values of a function by using the table on a TI graphing calculator?
 How can you use the ZERO feature and the Equation Solver on the TI graphing calculator to find where the derivative of a function is equal to 0?
 How does the derivative of a function tell you where the function has a maximum or minimum?
 How can you find where a function has a max / min by finding where the derivative equal 0 by hand?
 How can you find the value of the max / min for a function using the derivative function?
 Why is the vertex of a quadratic function x = b/2a?
This lesson explains how to find the maximum and minimum values of a function. A TI graphing calculator is used in some of the methods for finding max and min. The graph and table features are used to find the max / min of the function. Then, the zero function and the equation solver is used to find where the derivative of the function is zero. Finally, you will see how to find the derivative and solve by hand.