Let f(x) be a derivable function `f'(x)gtf(x)" and " f(0)=0`. Then

Let f(x) be a twice-differentiable function and f'(0)=2. The evaluate: lim_(x rarr0)(2f(x)-3f(2x)+f(4x))/(x^(2))

Let f(x) be a derivable function satisfying f(x)=int_0^x e^tsin(x-t)dt and g(x)=f''(x)-f(x) Then the possible integers in the range of g(x) is_______

[" Let "f(x)" be a function such that "],[f''(x)=f(x)" and "f'(0)=f(0)=0" .The "],[" value of "(f(x))/(4-f(x))dx" is equal to "]

Let f(x) be a derivable function satisfying f(x)=int_(0)^(x)e^(t)sin(x-t)dt and g(x)=f'(x)-f(x) Then the possible integers in the range of g(x) is

Let f be an even function and f'(x) exists, then f'(0) is

Let f be an even function and f'(x) exists, then f'(0) is

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

Let f:(0,oo)rarr(0,oo) be a derivable function and F(x) is the primitive of f(x) such that 2(F(x)-f(x))=f^(2)(x) for any real positive x