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

Liabru asked Feb 13, 2022

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34 votes

Differentiate

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

Liabru asked Feb 13, 2022

3.3k points

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15 votes

Answer:

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

James Nine answered Feb 20, 2022

2.3k points

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