Let f be a differentiable function for all x and that `|f'(x)|<=2` for all x. If `f(1)= 2` and `f(4)=8` then compute the value of `f^2 (2)+f^2 (3)`.

Let f be a differentiable function defined for all x in R such that f(x^(3))=x^(5) fol all x in R,xne0 . Then the value of f'(8) , is

Let f be a differentiable function defined for all x in R such that f(x^(3))=x^(5) fol all x in R,xne0 . Then the value of f'(8) , is

Let f(x) be a differentiable function for all x in R The derivative of f(x) is an even function If the period of f(2x) is 1 then the value of f(2)+f(4)-f(6)-f(8) 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 be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)) , then h'(1) is equal to