Let f(x) be a function satisfying `f(x+y)=f(x)+f(y)` and `f(x)=x g(x)"For all "x,y in R`, where g(x) is continuous. Then,

Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x) , for all x and y, where g(x) is a continuous function. Then f'(x) is :

Let f(x) be a function such that f(x+y)=f(x)+f(y) and f(x)=sin x g(x)" fora ll "x,y in R . If g(x) is a continuous functions such that g(0)=k, then f'(x) is equal to

Let f(x) be a function such that f(x+y)=f(x)+f(y) and f(x)=sin x g(x)" fora ll "x,y in R . If g(x) is a continuous functions such that g(0)=k, then f'(x) is equal to

Let f(x+y)=f(x)+f(y) and f(x)=x^2g(x)AA x,y in R where g(x) is continuous then f'(x) is

Let f be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x^3phi(x) for all x and y when phi (x) is a continuous function then f''(x) is equal to

Let f:R to R be a function satisfying f(x+y)=f(x)+f(y)"for all "x,y in R "If "f(x)=x^(3)g(x)"for all "x,yin R , where g(x) is continuous, then f'(x) is equal to

Let f:R to R be a function satisfying f(x+y)=f(x)+f(y)"for all "x,y in R "If "f(x)=x^(3)g(x)"for all "x,yin R , where g(x) is continuous, then f'(x) is equal to

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is