What is (\partial)/(\partial y)(xsin(y)) ?

The answer to (\partial)/(\partial y)(xsin(y)) is xcos(y)

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(\partial)/(\partial y)(xsin(y))

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

x cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x cos (y)

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

\frac{d y}{d x}, x y = cot (x y)

\frac{\partial}{\partial x} (\frac{z}{x} ln (y) + ln (x))

\int \frac{x}{2 + x} d x

f (x) = (- x^{3} - x^{2} + x) cos (x)

What is (\partial)/(\partial y)(xsin(y)) ?
The answer to (\partial)/(\partial y)(xsin(y)) is xcos(y)