What is (\partial)/(\partial x)(xysin(y)) ?

The answer to (\partial)/(\partial x)(xysin(y)) is ysin(y)

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(\partial)/(\partial x)(xysin(y))

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

y sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y sin (y) \cdot 1

Simplify

= y sin (y)

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\frac{d}{d x} ((2 + x sin (3 x))^{10})

\frac{d}{d x} ((sin^{2} (x) + 1)^{x})

What is (\partial)/(\partial x)(xysin(y)) ?
The answer to (\partial)/(\partial x)(xysin(y)) is ysin(y)