Question

Por favor derivem para mim :Por favor derivem para mim : f(x)=
x^{2}/x-1

Answer 1

$f(x)=\frac{x^2}{x-1}\\\\f'(x)=\frac{(x^2)'\cdot(x-1)-(x^2)\cdot(x-1)'}{(x-1)^2}\\\\f'(x)=\frac{2x(x-1)-x^2\cdot1}{(x-1)^2}\\\\f'(x)=\frac{2x^2-2x-x^2}{(x-1)^2}\\\\f'(x)=\frac{x^2-2x}{(x-1)^2}\\\\\boxed{f'(x)=\frac{x(x-2)}{(x-1)^2}}$