If `f(x)={(x-1)/(2x^2-7x+5),` when `x !=1 -1/3,` when `x=1,` prove that `f prime(1)=-2/9.`

If f(x)={(x-2)/(x^(2)-3x+2), when x!=21 when x=2, prove that f'(2)=-1

If f(x) ={{:((x-1)/(2x ^(2) -7x +5),"when"x ne1),(-1/3, "when" x=1):} then the value of f '(1) is-

Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when x = 1 Find the derivative of f (x) at x = 1 .

If f(x)=(x-1)/(2x^(2)-7x+5) for x!=1 and f(x)=-(1)/(3) for x=1 then f'(1)=

If f(x)={x^(2), when x>=1x, when x<1 prove that f(x), is not differentiable at x=1.

If f(x)=x^(2)+1, when x!=1 and f(x)=3 when x=1, prove that f(x) is not continuous at x=1.

Given, f(x)=(x-1)/(2x^2-7x+5) when xne1 Find the derivative of f(x) at x=1

If f(x) = {(x^(2), ",","when" x le 1),(x+5,",","when" x = 1):} , then