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Functions and Inverses What's the use? If f exists, we could use it to ...

Functions and Inverses What's the use? If f exists, we could use it to ...

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Important Calc II Skill:(<strong>use</strong>d w/ integration method of trig. subst.)(a) Evaluate cos(sin ­1 (x))(b) Evaluate tan(cos ­1 (x))Jan 29­1:06 PMDerivatives of Inverse Trig <strong>Functions</strong>(relies on implic<strong>it</strong> differentiation)Formula: d/dx [sin ­1 (x)] = 1/sqrt[1­x 2 ]Proof:Caution: <strong>the</strong> derivative,not sin ­1 <strong>it</strong>self!Jan 29­1:22 PM4

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