Step-by-step Solution

Find the derivative (d/dx)(24023/x+260x) using the sum rule

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$\frac{-24023}{x^2}+260$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\frac{24023}{x}+260x\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(\frac{24023}{x}\right)+\frac{d}{dx}\left(260x\right)$
2

The derivative of the linear function times a constant, is equal to the constant

$\frac{d}{dx}\left(\frac{24023}{x}\right)+260$

$\frac{-24023}{x^2}+260$
$\frac{d}{dx}\left(\frac{24023}{x}+260x\right)$

Main topic:

Differential calculus

~ 0.89 seconds

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