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

Find the derivative of ln(y)+x/y

Answer

$\frac{1}{y}$

Step-by-step explanation

Problem to solve:

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

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

$\frac{d}{dx}\left(\ln\left(y\right)\right)+\frac{d}{dx}\left(\frac{x}{y}\right)$
2

The derivative of the constant function is equal to zero

$0+\frac{d}{dx}\left(\frac{x}{y}\right)$

Unlock this step-by-step solution!

Answer

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

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.55 seconds