cherishxo
cherishxo cherishxo
  • 22-08-2021
  • Mathematics
contestada

Differentiate
[tex] \frac{ {x}^{3} + 2x ^{2} }{x} [/tex]
with respect to their variable.
​

Respuesta :

jimrgrant1 jimrgrant1
  • 22-08-2021

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

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