Suppose that f(x) is a differentiable function with f(1) = ½, f'(1) = 3, ƒ(2) = 7 and f'(2) = 2. Let u = u(t) be differentiable and u(2) = 1. Find u' (2) if ƒ(tf(u)) = f(tu²).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(a) Suppose that f(x) is a differentiable function with f(1) = , f'(1) = 3, f(2) = 7 and f'(2) = 2.
Let u =
u(t) be differentiable and u(2) = 1. Find u'(2) if f(tf(u)) = f(tu²).
Transcribed Image Text:(a) Suppose that f(x) is a differentiable function with f(1) = , f'(1) = 3, f(2) = 7 and f'(2) = 2. Let u = u(t) be differentiable and u(2) = 1. Find u'(2) if f(tf(u)) = f(tu²).
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