Let f be a differentiable function such that f(x+y)=f(x)+f(y) for all x, y R. Which of the following...

Question

Let f be a differentiable function such that f(x+y)=f(x)+f(y) for all x, y R. Which of the following statements is/are correct? I. If f(x)=x ,g(x), then the derivative of f(x) with respect to x is equal to g(0). II. If f(x)=x^2g(x), then the derivative of f(x) with respect to x is equal to 0. (Here g is a continuous function) Select the answer using the code given below.

Accepted Answer

(C)

NDA 2026 Mathematics question

Solution

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