Continuity and DifferentiabilityHard

Question

Let f(x) be a polynomial in x. Then the second derivative of f(ex) w.r.t. x is

Options

A.f″(ex). ex + f″(ex)
B.f″(ex). e2x + f′(ex). e2x
C.f″(ex) e2x
D.f″(ex). e2x + f′(ex). ex

Solution

(f(ex)) = f′(ex) . ex
(f(ex) = ex f′(ex) + e2x f″(ex))

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