If f(x) is differentiable at x=a, find the value of
`underset(x to a)lim((x+a)f(x)-2af(a))/(x-a)`.

If f (x) is differentiable at x = h , find the value of lim_(s to h)((x+h)f(x)-2hf(h))/(x-h)

f(x) is differentiable at x=a prove that underset(xrarra)Lt ((x+a)f(a)-2af(x))/(x-a)=f(a)-2af'(a)

If a function f(x) is derivable at x = a, then show that underset(x rarr a)lim (x^(2)f(a) - a^(2)f(x))/(2(x-a)) = af(a) - 1/2(a^(2)f'(a))

If f(2)=4,f'(2)=4 , then value of underset(x to 2)lim(xf(2)-2f(x))/(2(x-2)) is -

If f(2)=4,f'(2)=4, then value of underset(x rarr 2)lim(xf(2)-2f(x))/(x-2) is

If f(x) is differentiable at x=a then show that lim_(xrarr0)(x^2f(a)-a^2f(x))/(x-a)=2af(a)-a^2f^1(a)

The function f is differentiable at x=a and its derivative be f'(a) show that underset(xrarra)Lt (xf(a)-af(x))/(x-a)=f(a)-af'(a)

If f (x) is differentiable and f'(4) =5, then the vlaue of lim_(xto2) (f(4) -f(x^(2)))/(x-2) is equal to-

If f(x) is differentiable and strictly increasing function, then the value of lim_(xto0)(f(x^2)-f(x))/(f(x)-f(0)) is

Let f(x) be a differentiable function and f'(4)=5 . Then underset(x to2)lim(f(4)-f(x^(2)))/(2(x-2)) equals-