Home
Class 12
MATHS
If function f(x) is differentiable at x=...

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

A

`a^(2)f'(a)`

B

`af(a)-a^(2)f'(a)`

C

`2af(a)-a^(2)f'(a)`

D

`2af(a)+a^(2)f'(a)`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise MCQs (LEVEL-II)|35 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos

Similar Questions

Explore conceptually related problems

If f(x) is differentiable increasing function, then lim_(x to 0) (f(x^(2)) -f(x))/(f(x)-f(0)) equals :

If f(x)=xtan^(-1)x , then lim_(xto1)(f(x)-f(1))/(x-1)=

The function f(x)=|x-2|+x is

It is given that f^(')(a) exists, then lim_(x rarr a) (x f(a) - a f(x))/(x-a) is equal to

Let f(2)=4 and f'(2)=4 . Then lim_(xto2)(xf(2)-2f(x))/(x-2) is given by :

If a function f(x) is differentiable at x = c prove that it is continuous at x = c.

If f(a)=2,f'(a)=1,g(a)=-,g'(a)=2 , then the value of lim_(xtoa)(g(x)f(a)-g(a)f(x))/(x-a) is :

If lim_(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=- , then :

If f(a) = 2 , f ' (a) = 1 , g (a) = -1 , g'(a) = 2 , then lim_(x to a) (g (x) * f (a) - g (a) * f(x))/( x- a) is equal to