Let `f : [0.8] -> R` be differentiable function such that `f(0)=0,f(4)=1,f(8)=1` then which of the following hoid (s) good ?

Let f:[0.8]rarr R be differentiable function such that f(0)=0,f(4)=1,f(8)=1 then which of the following hoid (s) good?

Let f: [0, 8]to R be differentiable function such that f (0) =0, f (4)=1, f (8) =1, then which of the following hold(s) good ?

If f(x) is a twice differentiable function such that f(0)=f(1)=f(2)=0 . Then

Let f:[0,(pi)/(2)rarr[0,1] be a differentiable function such that f(0)=0,f((pi)/(2))=1 then

Let f(x) be a function such that,f(0)=f'(0)=0,f''(x)=sec^(4)x+4 then the function is

Let f be a differentiable function defined on R such that f(0) = -3 . If f'(x) le 5 for all x then

Let f:R rarr R be a differentiable function such that f(a)=0=f(b) and f'(a)f'(b)>0 for some a

Let f:(0,oo)rarr 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 be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

Let f: R to R be a dIfferentiable function . If f is even, then f'(0) is equal to