# How do you differentiate y sin x = y

How do you differentiate $y\mathrm{sin}x=y$
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trutdelamodej0
You can use the product rule, like the usual. Just remember that the derivative of y with respect to x in $\frac{df}{dx}$ is $\frac{dy}{dx}$
With $f\left(x\right):y\mathrm{sin}x=y$
$\frac{df}{dx}\left[y\mathrm{sin}x=y\right]=y\mathrm{cos}x+\mathrm{sin}x\left(\frac{dy}{dx}\right)=\frac{dy}{dx}$
$\frac{dy}{dx}\left[1-\mathrm{sin}x\right]=y\mathrm{cos}x$
$\frac{dy}{dx}=\frac{y\mathrm{cos}x}{1-\mathrm{sin}x}$
If you check Wolfram Alpha, you'll see this, just multiplied by −1.