If f is derivable at x =a,then ` underset(xto a ) lim( (xf(a) -af( x))/(x-a) ) `

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

If f is derivable at x =a,then lim_(xto a )( (xf(a) -af( x))/(x-a) )

If f is diffenrentiable at x = 1 , then underset (xto1) ("limit") (xf(1)-f(x))/(x-1) is equal to :

It is given that f'(a) exists, then underset(x to a) (lim) (x f(a) - af(x))/(x-a) is ............... .

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 is derivable function of x, then underset(hto0)("lim")(f(x+h)-f(x-h))/(h)=

If underset(x to a)("lim")(f(x)-f(a))/(x-a) exists, then

If f(x) is derivable at x = a,show that lim_(xrarra)(xf(a)-af(x))/(x-a)=f(a)-af'(a)

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 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)