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Unformatted text preview: derivative of the inverse at . Use the formula that you learned above. The derivative of f ( x ) = 2 x + cos x is f ( x ) = 2 sin x . Sine takes on values between 1 and 1, so the derivative lies between 1 and 3. Its always positive, which means the function is increasing. Remember that increasing functions are invertible. Once you have found the derivative of the original function and verified that the function is invertible, all you have to do is plug into the formula. You have evaluated the derivative of the inverse of a function at a point, without determining the inverse itself! 1 Thinkwell Corp. www.thinkwell.com Elementary Functions and Their Inverses...
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.
- Spring '10