What is (\partial)/(\partial x)(2xsin(2y)) ?

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

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(\partial)/(\partial x)(2xsin(2y))

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

2 sin (2 y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 2 sin (2 y) \cdot 1

Simplify

= 2 sin (2 y)

\frac{d}{d x} (A x cos (x) + B cos (x))

x \to 1 lim (\frac{1}{x - 1})

\frac{1}{2 s + 1}

\int \frac{- x}{x + 1} d x

\int (sin (x) - 2 cos (x)) d x

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