8.If `f(x)=e^(-1/x^2)`and f(0)=0 then f'(0) is

if f(x)=e^(-1/x^2),x!=0 and f (0)=0 then f'(0) is

If f'(x)=x e^(x) and f(0)=1 then find f(x).

If f(x)=e^(x)g(x),g(0)=2,g'(0)=1, then f'(0) is

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

If f'(x)=(dx)/((1+x^(2))^(3//2)) and f(0)=0. then f(1) is equal to

If f''(x) = sec^(2) x and f (0) = f '(0) = 0 then:

If y=f(x) is the solution of differential equation , e^y((dy)/(dx)-2)=e^(3x) such that f(0)=0 , then f(2) is equal to :

If y=(f_(0)f_(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

Let f(x) be a polynomial function: f(x)=x^(5)+ . . . . if f(1)=0 and f(2)=0, then f(x) is divisible by