[" If "f:R rarr R" is a twice differentiable function such that "],[f'(x)>0f" or "alx],[in R" and "f((1)/(2))=(1)/(2),f(1)],[=1]

If f:R rarr R is a differentiable function such that f(x)>2f(x) for all x in R and f(0)=1, then

If f:R->R is a twice differentiable function such that f''(x) > 0 for all x in R, and f(1/2)=1/2. f(1)=1, then

If f:R to R is a twice differentiable function such that f''(x) gt 0" for all "x in R, and f(1/2)=1/2, f(1)=1 then :

If f:R->R is a twice differentiable function such that f''(x) > 0 for all x in R, and f(1/2)=1/2 and f(1)=1, then

if f:R rarr R is a differentiable function such that f'(x)>2f(x) for all x varepsilon R, and f(0)=1, then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1) =1 , then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f:R rarr R be a twice differentiable function such that f(x+pi)=f(x) and f'(x)+f(x)>=0 for all x in R. show that f(x)>=0 for all x in R .

Let f:Rto R be a twice continuously differentiable function such that f(0)=f(1)=f'(0)=0 . Then