Question

calcule la derivada de f(x)=6x²+15x-26
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Answer 1

Explicación:

$f(x)=6x^2+15x-26$

$\frac{d}{dx}\left(6x^2+15x-26\right)$

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

$=\frac{d}{dx}\left(6x^2\right)+\frac{d}{dx}\left(15x\right)-\frac{d}{dx}\left(26\right)$

$\frac{d}{dx}\left(6x^2\right)=12x$

$\frac{d}{dx}\left(15x\right)=15$

$\frac{d}{dx}\left(26\right)=0$

$=12x+15-0$

$\mathrm{Simplificamos}$

$=12x+15$