What is (\partial)/(\partial x)(x*sin(2y)) ?

The answer to (\partial)/(\partial x)(x*sin(2y)) is sin(2y)

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(\partial)/(\partial x)(x*sin(2y))

\frac{\partial}{\partial x} (x \cdot sin (2 y))

sin (2 y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= sin (2 y) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= sin (2 y) \cdot 1

Simplify

= sin (2 y)

What is (\partial)/(\partial x)(x*sin(2y)) ?
The answer to (\partial)/(\partial x)(x*sin(2y)) is sin(2y)