Respuesta :

Answer:

2x + 2

Step-by-step explanation:

Given

[tex]\frac{x^3+2x^2}{x}[/tex] ( divide each term on the numerator by x )

= x² + 2x

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , then

[tex]\frac{d}{dx}[/tex] (x² + 2x ) = 2x + 2