Question

dervivada de 3x^2+2x-4

Answer 1

$\frac{d}{dx}\left(3x^2+2x+4\right)$

$\mathrm{Aplicar\:la\:regla\:de\:la\:suma/diferencia}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x^2\right)+\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(4\right)$

$\mathrm{Aplicar\:la\:regla\:de\:la\:potencia}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=6x+2+0$

$=6x+2$