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??1/3
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) Step 2: Write the function in the form y=f (x) (that is reversing the role of x and y in (1)) y=f (x)= 3 x
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Since the solution to 58RE from 3 chapter was answered, more than 316 students have viewed the full step-by-step answer. The answer to “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??1/3” is broken down into a number of easy to follow steps, and 28 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: derivative, Inverse, independent, functions, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 58RE from chapter: 3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.