Let `f: R->R` be a twice differentiable function such that `f(x+pi)=f(x)` and `f^(x)+f(x)geq0` for all `x in Rdot` Show that `f(x)geq0` for all `x in Rdot`

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: \mathbb{R} rarr \mathbb{R} be a twice differentiable function such that f(x+pi)=f(x) and f''(x) + f(x) geq 0 for all x in \mathbb{R} . Show that f(x) geq 0 for all x in \mathbb{R} .

Let f: \mathbb{R} rarr \mathbb{R} be a twice differentiable function such that f(x+pi)=f(x) and f''(x) + f(x) geq 0 for all x in \mathbb{R} . Show that f(x) geq 0 for all x in \mathbb{R} .

Let f be a differentiable function such that f(0)=e^(2) and f'(x)=2f(x) for all x in R If h(x)=f(f(x)) ,then h'(0) is equal to

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

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->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

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 f(x) is