Suppose (x)=sin(x cosx). On any interval where the inverse function y = f-¹(x) exists, the derivative of f-1(x) with respect to x is: cos(x cosx)' where x and y are related by the equation (satisfy the equation) x = sin(x cosy). sinx cos(x cosx)' -1 siny cos(x cosy) where x and y are related by the equation * = sin(x cosy). where x and y are related by the equation *=sin(x cosy).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose f(x)=sin(x cosx). On any interval where the inverse function y = f-¹(x) exists,
the derivative of f-1(x) with respect to x is:
-1
cos(x cosx)' where x and y are related by the equation (satisfy the equation)
sin(x cosy).
-1
* sinx cos(x cos x)'
where x and y are related by the equation *=* sin(x cosy).
-1
siny cos(x cosy) where x and y are related by the equation *=* sin(x cosy).
-1
cos(x cosy)' where x and y are related by the equation x = sin(x cosy).
-1
siny cos(x cosy) where x and y are related by the equation
X = sin(x cosy).
Transcribed Image Text:Suppose f(x)=sin(x cosx). On any interval where the inverse function y = f-¹(x) exists, the derivative of f-1(x) with respect to x is: -1 cos(x cosx)' where x and y are related by the equation (satisfy the equation) sin(x cosy). -1 * sinx cos(x cos x)' where x and y are related by the equation *=* sin(x cosy). -1 siny cos(x cosy) where x and y are related by the equation *=* sin(x cosy). -1 cos(x cosy)' where x and y are related by the equation x = sin(x cosy). -1 siny cos(x cosy) where x and y are related by the equation X = sin(x cosy).
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