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

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

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

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

sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (y) \cdot 1

Simplify

= sin (y)

x^{2}, 8 - x^{2}, 4 x + 12

7^{x^{2} - x}

\int_{0}^{\frac{π}{2}} cos^{4} (2 x) d x

x \frac{d y}{d x} - y = 2 x^{2} y^{2}

sin (2) x^{3}

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