Question

Derivada de f(x) = (2x-2) / (x^2+x-6)

Answer 1

-2×^2+4×-10/(×^2+×-6)^2

Answer 2

$y'( \frac{u}{v} )= \frac{u'*v-v'*u}{ v^{2} }$$y' (\frac{2x-2}{ x^{2} +x-6}) = \frac{2(x^{2} +x-6)-(2x+1)*(2x+2)}{(x^{2} +x-6) ^{2}}$$\frac{2 x^{2} +2x-12-4 x^{2} -2x+4x+2}{( x^{2} +x-6) ^{2}}$$\frac{-2 x^{2} +4x-10}{( x^{2} +x-6) ^{2}}$