If `f(0) = f'(0) = 0` and `f''(x) = tan^(2)x` then f(x) is

Given f(0)=0;f'(0)=0 and f''(x)=sec^(2)x+sec^(2)x tan^(2)x+ then f(x)=

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

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

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

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

Suppose |(f'(x),f(x)),(f''(x),f'(x))|=0 where f(x) is continuously differentiable function with f'(x)ne0 and satisfies f(0) = 1 and f'(0) = 2 then lim_(xrarr0) (f(x)-1)/(x) is

If f(0)=2, f'(x) =f(x), phi (x) = x+f(x) then int_(0)^(1) f(x) phi (x) dx is

Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable function with f^(prime)(x)!=0 and satisfies f(0)=1 and f'(0)=2 then lim_(x->0)(f(x)-1)/x is a. 1//2 b. 1 c. 2 d. 0

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