(e) If `f'(2^(+))=0` and `f'(2^(-))=0,` then is `f(x)`

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

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

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

If 2f(x)=f'(x) and f(0)=3 then f(2)=

f'(x^(2))=(ln x)/(x^(2)) and f(1)=-(1)/(4), then (A)f(e)=0(B)f'(e)=(1)/(20)

Let f(x)=e^(x)g(x),g(0)=4 and g'(0)=2, then f'(0) equals

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 1//2 b. 1 c. 2 d. 0