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Black Book Advanced Problems in MathematicsMathematicsLimits

Let f(x) be a continuous and differentiable function satisfying f(x+y) = f(x)f(y) x, y R if f(x) can be expressed as f(x) = 1 + xP(x) + x^2Q(x) where _ x 0 P(x) = a and _ x 0 Q(x) = b , then f'(x) is equal to :

Options

Aa f(x)
Bb f(x)
C(a+b) f(x)
D(a+2b) f(x)

Correct answer

A. a f(x)

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