What is (\partial)/(\partial x)(sin(2yx)) ?

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

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(\partial)/(\partial x)(sin(2yx))

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

cos (2 y x) \cdot 2 y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= cos (2 y x) \cdot 2 y

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