Suppose that f is differentiable at 2 and 4 with f(2) 2, f(4) 3 f '(2) , and f '(4) e a) If g(x) xf(x2), find the value of g '(2) b) If g(x) f2(x), find the value of g '(4) c) If g(x) x f(x3), find the value of g(3 2)

Question: Suppose that f is differentiable at 2 and 4 with f(2) = 2, f(4) = 3. f'(2) = , and f'(4) = e. a) If

Suppose that f is differentiable at 2 and 4 with f(2) = 2, f(4) = 3. f'(2) = π, and f'(4) = e.
a) If g(x) = xf(x2), find the value of g'(2).
b) If g(x) = f2(√x), find the value of g'(4).
c) If g(x) = x/f(x3), find the value of gʹ(3√/2).

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