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Vanyuwa [196]
2 years ago
14

Find

y}{dx} " align="absmiddle" class="latex-formula">
For this ☟
y = cos(xy)
​
Mathematics
1 answer:
harkovskaia [24]2 years ago
7 0

Answer:

\frac{dy}{dx}=\frac{-y\sin xy}{1+\sin xy}

Step-by-step explanation:

\frac{dy}{dx}=-\frac{d}{dx} (xy) \sin(xy) \\ \\ =-\left(x \frac{dy}{dx}+y \right) \sin(xy) \\ \\ =-x \frac{dy}{dx} \sin(xy)-y\sin(xy) \\ \\ \frac{dy}{dx}(1+x\sin(xy))=-y \sin xy \\ \\ \frac{dy}{dx}=\frac{-y\sin xy}{1+\sin xy}

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