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

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

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

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

f (x) = (x^{2} + 3) (x^{2} - 4 x)

\int \frac{5 x ^{2} + 7 x - 11}{x ^{2}} d x

\int (2 x + 6) e^{- 4 x} d x

\frac{\partial}{\partial x} (cos (5 x))

f (x) = (8 x + 9) (9 x - 10)

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