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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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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)
Transcribed Image Text: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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