Continuity and DifferentiabilityHard

Question

Let ƒ(x + y) = ƒ(x) + ƒ(y) and ƒ(x) = x2 g(x) for all  x, y,  R, where g(x) is continuous function. Then ƒ′ (x) is equal to -

Options

A.g′
B.g(x)
C.ƒ(x)
D.None of these

Solution

-

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