Examples A: Derivatives Involving Algebraic Functions.

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Presentation transcript:

Examples A: Derivatives Involving Algebraic Functions

The derivative of composite function for the case f(x) = g n (x) Let: f(x) = g n (x) Then: f ' (x) = ng n-1 (x). g ' (x) Example: Let f(x) = (3x 8 - 5x + 3 ) 20 Then f(x) = 20 (3x 8 - 5x + 3 ) 19 (24x 7 - 5)

Examples (1)

Example (2)

Examples B: Derivatives Involving Trigonometric Functions

Basic Formulas

General Formulas (Chain Rule ) Let u=u(x)

Examples (1)

Examples (2)

Examples (3)

Examples (4)

Examples (6)

Examples (7)

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