" EXAMPLE 6"" If "f(x)" is differentiable at "x=a," find "lim_(x rarr a)(x^(2)f(a)-a^(2)f(x))/(x-a)

Similar Questions

Explore conceptually related problems

If f(x) is differentiable at x=a , find (lim)_(x->a)(x^2f(a)-a^2\ f(x))/(x-a) .

If f(x) is differentiable at x=a, then lim_(x toa)(x^2f(a)-a^2f(x))/(x-a) is equal to

If function f(x) is differentiable at x=a , then lim_(xtoa)(x^(2)f(a)-a^(2)f(x))/(x-a) is :

If f is differentiable at x=1, then lim_(x rarr 1) (x^(2) f(1)-f(x))/(x-1) is

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

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)

let f(x) be differentiable at x=h then lim_(x rarr h)((x+h)f(x)-2hf(h))/(x-h) is equal to

If f is differentiable at x=1, Then lim_(x to1)(x^2f(1)-f(x))/(x-1) is