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) = x f (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).
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