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# Derive the function ln(y)+x/y with respect to x

### Formulas

$\frac{1}{y}$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(\ln\left(y\right)+\frac{x}{y}\right)$
1

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

$\frac{d}{dx}\left(\frac{x}{y}\right)+\frac{d}{dx}\left(\ln\left(y\right)\right)$

$\frac{1}{y}$

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$\frac{d}{dx}\left(\ln\left(y\right)+\frac{x}{y}\right)$

### Main topic:

Differential calculus

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