# Math virtual assistant

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# Find the derivative of y^2=x+ln((y/x))

## Answer

$x=1$

## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(y^2=x+\ln\left(\frac{y}{x}\right)\right)$
1

Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

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

## Answer

$x=1$
$\frac{d}{dx}\left(y^2=x+\ln\left(\frac{y}{x}\right)\right)$

### Main topic:

Differential calculus

~ 0.64 seconds