If 'f' is differentiable at x = a, find `(underset(xrarra)lim(x^2f(a)-a^2f(x))/(x-a))`

If 'f' is derivable at x =a, find underset(xrarra)lim(xf(a)-af(x))/(x-a)

underset(xrarra)lim (x^n-a^n)/(x-a) is equal to:

Let f(x) be a differentiable function and f'(4) = 5, then: underset(xrarr2)lim(f(4)-f(x^2))/(x-2) equals:

Evaluate: underset(xrarra)lim ((x+2)^(5/3)-(a+2)^(5/3))/(x-a) .

Evaluate: underset(xrarra)lim [(x+2)^(3/2)-(a+2)^(3/2)]/(x-a) .

Let F(2)=4 and f'(2)=4 then underset(xrarr2)lim (xf(2)-2f'(2))/(x-2) is equal to:

If ‘f' is defined by f(x) = x^2 , find f' (2).

Let f(x) be a polynomial of degree four having extreme values at x =1 and x=2. If underset(xrarr0)lim[1+(f(x))/x^2] =3, then f(2) is equal to

Is f(x) = |x-1|+|x-2| differentiable at x=2?