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Examples A: Derivatives Involving Algebraic Functions.

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Presentation on theme: "Examples A: Derivatives Involving Algebraic Functions."— Presentation transcript:

1 Examples A: Derivatives Involving Algebraic Functions

2 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)

3 Examples (1)

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12 Example (2)

13 Examples B: Derivatives Involving Trigonometric Functions

14 Basic Formulas

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

16 Examples (1)

17 Examples (2)

18 Examples (3)

19 Examples (4)

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22 Examples (6)

23 Examples (7)

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