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