What is (\partial)/(\partial x)(xarctan(y)) ?

The answer to (\partial)/(\partial x)(xarctan(y)) is arctan(y)

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(\partial)/(\partial x)(xarctan(y))

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

arctan (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= arctan (y) \cdot 1

Simplify

= arctan (y)

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What is (\partial)/(\partial x)(xarctan(y)) ?
The answer to (\partial)/(\partial x)(xarctan(y)) is arctan(y)