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Fundamental Differentiation Techniques

Topic Review on "Title":

The Constant Rule of Derivatives:

If and is a real number constant then

The Power Rule of Derivatives:

If and are real numbers then

The sum and difference rule of derivatives:

If then

If then

The product rule of derivatives:

If then

The quotient rule of derivatives:

If then

The Chain Rule of Derivatives: If is a composition of two differentiable functions, and such that then then

Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial presents the techniques for quickly finding the derivative of monomials. Examples are introduced to show the techniques for quickly finding the derivative of polynomials. Theorems are introduced in this tutorial containing the most basic principles used in finding derivatives of functions.

Next, this tutorial introduces the techniques for quickly finding the derivative of trigonometric functions. Also, the way to find the derivative of composite functions is mentioned in this tutorial.

Tutorial Features:

Specific Tutorial Features:

  • Step by step example problems showing how you calculate the derivative of monomials, the derivative of polynomials and the derivative of composite functions.
  • The Chain Rule is introduced with the aid of example problems and its graphical representation.

Series Features:

  • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  • Definition slides introduce terms as they are needed.
  • Visual representation of concepts
  • Animated examples—worked out step by step
  • A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Derivatives of monomials
Derivative techniques
Power rule for a fraction
Derivatives of polynomials
Sum and difference rule for derivatives
Product rule for derivatives
Quotient rule for derivatives
Derivatives of trigonometric functions
The Chain Rule for derivatives

See all 24 lessons in college calculus, including concept tutorials, problem drills and cheat sheets:
Teach Yourself College Calculus Visually in 24 Hours