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

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.

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.

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