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Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also differentiable. One can show, using implicit differentiation (do it!), that 1 f'(f-¹(x)) (f-¹')'(x) = - Find (f ¹)'(4) if f(-5) = 4 and f'(-5) = 3/11. (f-¹')'(4) =

Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also differentiable. One can show, using implicit differentiation (do it!), that 1 f'(f-¹(x)) (f-¹')'(x) = - Find (f ¹)'(4) if f(-5) = 4 and f'(-5) = 3/11. (f-¹')'(4) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 19CR
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Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also differentiable. One can show, using implicit differentiation (do it!), that 1 f'(ƒ-¹(x)) (ƒ˜¹)'(x) = - Find (f ¹)'(4) if f(-5) = 4 and f'(-5) = 3/11. (ƒ~¹')'(4) =
Transcribed Image Text:Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also differentiable. One can show, using implicit differentiation (do it!), that 1 f'(ƒ-¹(x)) (ƒ˜¹)'(x) = - Find (f ¹)'(4) if f(-5) = 4 and f'(-5) = 3/11. (ƒ~¹')'(4) =
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