Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5

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Presentation transcript:

Inverse Trigonometric Functions: Differentiation & Integration (5. 6/5 March 5th, 2013

I. derivatives of inverse trigonometric functions Thm. 5.16: Derivatives of inverse Trigonometric Functions: Let u be a differentiable function of x.

Ex. 1: Find the derivative of each function. b.

Ex. 2: Find an equation of the tangent line to the graph of at the point

II. Integrals Involving Inverse Trigonometric Functions Thm. 5.17: Integrals Involving Inverse Trigonometric Functions: Let u be a differentiable function of x, and let . 1. 2. 3.

Ex. 3: Find each indefinite integral. b.

Ex. 4: Evaluate the integral .