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)

\frac{d}{d y} (x^{2} - y)

\int \frac{x ^{2} + x + 3}{x - 2} d x

y = x^{2} - 2, y = \frac{( 3 x + 1 )}{2}

\frac{d}{d x} (arccos (y - x^{2}))

\int \frac{2 ln ( 4 x ^{2} )}{x ^{4}} d x

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