Differentiate \frac{ {x}^(3) + 2x ^(2) }{x} with respect to their variable. ​

Question

Differentiate


`\frac{ {x}^(3) + 2x ^(2) }{x}`
with respect to their variable.
​

Answer 1

2x + 2

Explanation:

Given

`(x^3+2x^2)/(x)` ( divide each term on the numerator by x )

= x² + 2x

Differentiate each term using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)` , then

`(d)/(dx)` (x² + 2x ) = 2x + 2