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

1.	Let \[f(x+y)=f(x)+f(y)\] and \[f(x)={{x}^{2}}g(x)\] for all\[x,\text{ }y\in R\], 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\[x,\text{ }y\in R\], where g(x) is continuous function. Then f?(x) is equal to

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