What is (\partial)/(\partial y)(sin(xy)) ?

The answer to (\partial)/(\partial y)(sin(xy)) is cos(xy)x

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(\partial)/(\partial y)(sin(xy))

\frac{\partial}{\partial y} (sin (x y))

cos (x y) x

Solution steps

\frac{\partial}{\partial y} (sin (x y))

Treat

x

as a constant

Apply the chain rule:

cos (x y) \frac{\partial}{\partial y} (x y)

= cos (x y) \frac{\partial}{\partial y} (x y)

\frac{\partial}{\partial y} (x y) = x

= cos (x y) x

\int (a + x)^{2} d x

\frac{d}{d x} (\frac{( x ^{2} - 1 ) ^{3}}{4})

n = 0 \sum \infty \frac{e ^{n}}{n ^{n}}

\frac{\partial}{\partial y} (sin (x^{2}) - y)

\frac{d}{d x} (2 sin (x))

What is (\partial)/(\partial y)(sin(xy)) ?
The answer to (\partial)/(\partial y)(sin(xy)) is cos(xy)x