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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

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 "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 examplesâ€”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 fractionDerivatives of polynomials Sum and difference rule for derivatives Product rule for derivatives Quotient rule for derivativesDerivatives of trigonometric functionsThe Chain Rule for derivatives`

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