What is (\partial)/(\partial x)(xcos(piy)) ?

The answer to (\partial)/(\partial x)(xcos(piy)) is cos(piy)

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(\partial)/(\partial x)(xcos(piy))

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

cos (π y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (π y) \cdot 1

Simplify

= cos (π y)

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What is (\partial)/(\partial x)(xcos(piy)) ?
The answer to (\partial)/(\partial x)(xcos(piy)) is cos(piy)