If `f'(x) = g(x) (x-a)^2`, where g(a) `!= 0` and g is continuous at x = a, then :

If f(x)=g(x)(x-a)^(2) , where g(a)ne0 , and g is continuous at x=a , then

If f and g are both continuous at x = a, then f-g is

Given that f(x) = xg (x)//|x| g(0) = g'(0)=0 and f(x) is continuous at x=0 then the value of f'(0)

Let f(x) and g(x) be two equal real function such that f(x)=(x)/(|x|) g(x), x ne 0 If g(0)=g'(0)=0 and f(x) is continuous at x=0, then f'(0) is

Let f(x) and g(x) be two equal real function such that f(x)=(x)/(|x|) g(x), x ne 0 If g(0)=g'(0)=0 and f(x) is continuous at x=0, then f'(0) 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) .

Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x) , where g(x) is continuous. Then f'(x) is equal to :