JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

Let

f(x+y)=f(x)+f(y)

and

f(x)=x^2 g(x)

for all

x, y \in R

, where

g(x)

is continuous function. Then

f^{\prime}(x)

is equal to

View answer and explanation

Correct option: D

Option D is correct because using the given functional equation and the definition of the derivative, we find that f'(x) = 0.

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