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Apply the formula: $\frac{d}{dx}\left(a=b\right)$$=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right)$, where $a=y+x\sin\left(y\right)$ and $b=xe^y$
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$\frac{d}{dx}\left(y+x\sin\left(y\right)\right)=\frac{d}{dx}\left(xe^y\right)$
Learn how to solve problems step by step online. d/dx(y+xsin(y)=xe^y). Apply the formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), where a=y+x\sin\left(y\right) and b=xe^y. Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=xe^y, a=x, b=e^y and d/dx?ab=\frac{d}{dx}\left(xe^y\right). Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: \frac{d}{dx}\left(e^x\right)=e^x, where x=y.
