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Solved: RE Derivative of the inverse Find the derivative
Chapter 7, Problem 58RE(choose chapter or problem)
QUESTION:
58-59. Derivative of the inverse Find the derivative of the inverse of the following functions. Express the result with x as the independent variable.
f(x) = 12x - 16
Questions & Answers
QUESTION:
58-59. Derivative of the inverse Find the derivative of the inverse of the following functions. Express the result with x as the independent variable.
f(x) = 12x - 16
ANSWER:Solution Step 1: Given f(x)=x 3 1 Let y= f(x)=x 3 We write it in terms of x as 1 y=x 3 1 3 x = y (taking cube on both sides ) 3 1 x=(y ) 1 x= y …(1)