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(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: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 be a function such that f(x+y)=f(x)+f(y) for all xa n dya n df(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot

Let f be a function such that f(x+y)=f(x)+f(y) for all xa n dya n df(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot

Let f(x+y)=f(x) f(y) and f(x)=1+(sin 2x)g(x) where g(x) is continuous. Then, f'(x) equals

Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y in R and f(x)=1+xg(x) where underset(x to 0)lim g(x)=1 . Then f'(x) is equal to

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

Let be a real function satisfying f(x)+f(y)=f((x+y)/(1-xy)) for all x ,y in R and xy ne1 . Then f(x) is

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)