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# RE Derivative of the inverse Find the derivative of the ## Problem 57RE Chapter 3

Calculus: Early Transcendentals | 1st Edition

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Problem 57RE

RE 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?) = 12?x? ? 16

Step-by-Step Solution:

Solution Step 1: Given f(x)=12x-16 Let y=f(x)=12x-16 We can write it as x= y+16 …..(1) 12 Step 2: 1 Write the function in the form y=f (x) (that is reversing the role of x and y in (1)) 1 x+16 y=f (x)= 12 = x + 16 12 12

Step 3 of 3

##### ISBN: 9780321570567

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