If a differentiable function f defined for `x gt0` satisfies the relation `f(x^(2))=x^(3),x gt 0`, then what is the value of `f'(4)?`

A differentiable function f defined for all x > 0 and satisfies f(x^2)=x^3 for all x > 0. What is the value f'(16) ?

A differentiable function f defined for all x>0 satisfies f(x^(2)) = x^(3) for all x>0. what is f'(b)?

A differentiable function f(x) is defined for all x gt 0 and satisfies f(x^(3))=4x^(4) for all x gt 0 . The valuue of f'(8) is : a) 16/3 b) 32/3 c) (16sqrt(2))/3 d) (32sqrt(2))/3

A function f, defined for all positive real numbers, satisfies the equation f(x^(2))=x^(3)=x^(3) for every gt0. Then the value of f'(4) is

If f(x) is a differentiable function for all x gt 0 and lim_(y to x)(y^(2)f(x)-x^(2)f(y))/(y-x)=2 , then the value of f'(x) is -

A function f(x) is defined for all x gt 0 and satisfies f(x^2) = x^3 . Then f is differentiable at x = 4 with f'(4) equal to

If f(x)gt0 and differentiable in R, then : f'(x)=

A function f is defined by f(x^(2) ) = x^(3) AA x gt 0 then f(4) equals

A function f is defined by f(x^(2) ) = x^(3) AA x gt 0 then f(4) equals

Statement 1: If differentiable function f(x) satisfies the relation f(x)+f(x-2)=0AAx in R , and if ((d/(dx)f(x)))_(x=a)=b ,t h e n((d/(dx)f(x)))_(a+4000)=bdot Statement 2: f(x) is a periodic function with period 4.