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
-
Higher-Order 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 preview image](http://pi.mathvids.com/thumbs/1286-1.jpg)
[C.2] Numerical Derivative
-
![[C.3] Elasticity preview image](http://pi.mathvids.com/thumbs/1287-1.jpg)
[C.3] Elasticity
-
Derivative of a Sum-Product-Quotient-Composition
-
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
Max and Min
1317 views - 00:14:18
Part of video series Business Applications of the Derivative
Check out www.themathdude.org for more videos.
Understand how the derivative of a function can be used to identify inputs that may correspond to extrema (maxima or minima) of the function. Be able to find the actual extrema of a function. Note: using technology may be the easiest way.
- Maximize Revenue Notes - Notes on how to maximize revenue
- Marginal Cost Explanation - An explanation of maximizing profit using the Marginal cost-marginal 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.
