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
Critical Numbers and the First Derivative Test
 Increasing and Decreasing Functions  Practice with Increasing and Decreasing Functions.
 Local Extreme Values (critical numbers)  Practice with Local Extreme Values (critical numbers).
 What is a critical number?
 What is the first derivative test?
 What is a local extreme value?
 How do you find local minimum and local maximum values of a function?
 How do you pick test points for critical points?
Discussed in this video are critical numbers, critical points, and how to determine whether a point of a function is a local minimum, local maximum, or neither using the first derivative test. Several examples are done, and the common, accepted method for making a sketch of fâ(x) for critical points is shown, as well as picking test points and determining local minimum and local maximum points for the function. This is a truly useful video for any Calculus student.
plenty of examples!