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 \[f'(x)\] is equal to

Let \[f(x+y)=f(x)+f(y)\]and \[f(x)={{x}^{2}}g(x)\] for all \[x,y\in R\

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 \[f'(x)\] is equal to
A.	\[g'(x)\]
B.	\[g(0)\]
C.	\[g(0)+g'(x)\]
D.	0
Answer» E.

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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 \[f'(x)\] is equal to

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