34. Let f be a differentiable decreasing function such that f(4) = 11, f(11) = 5, f'(4) = -2, andf'(11) = -6. If g is a differentiable function such that f (g(x)) = x for all x, then what is the value ofg'(11)?%3D1.1(A) --(B) --(C)11(D)

If two function f(x) and g(x) are differentiable, and their composition h(x)=f(g(x)) is defined then…

11, f(11) = 5, f'(4) 34. Let f be a differentiable decreasing function such that f(4) f'(11) = -6. If g is a differentiable function such that f(g(x)) = x for all x, then what is the value of g'(11)? %3D -2, and %3D (A) - (B) - 2 (C) 11 (D)

11, f(11) = 5, f'(4) 34. Let f be a differentiable decreasing function such that f(4) f'(11) = -6. If g is a differentiable function such that f(g(x)) = x for all x, then what is the value of g'(11)? %3D -2, and %3D (A) - (B) - 2 (C) 11 (D)

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.

Chapter3: The Derivative

Section3.5: Graphical Differentiation

Problem 1E

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Question

34. Let f be a differentiable decreasing function such that f(4) = 11, f(11) = 5, f'(4) = -2, and
f'(11) = -6. If g is a differentiable function such that f (g(x)) = x for all x, then what is the value of
g'(11)?
%3D
1.
1
(A) --
(B) --
(C)
11
(D)

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