Question

Derivada $5x^{2} +7/2 x^{2} -2$

Answer 1

sabendo que:

$f(x) = \frac{u}{v}$
$f'(x) = \frac{uv' - u'v}{v^2}$

temos:

$f(x) = \frac{5x^2 + 7}{2x^2 -2}$
$f'(x) = \frac{(5x^2+7)4x - 10x(2x^2-2)}{(2x^2-2)^2}$

fatorando teremos:

$f'(x) = \frac{-48x}{4x^4-8x^2+4}$