What is (\partial)/(\partial y)(xsec(y)) ?

The answer to (\partial)/(\partial y)(xsec(y)) is xsec(y)tan(y)

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(\partial)/(\partial y)(xsec(y))

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

x sec (y) tan (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (sec (y)) = sec (y) tan (y)

= x sec (y) tan (y)

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What is (\partial)/(\partial y)(xsec(y)) ?
The answer to (\partial)/(\partial y)(xsec(y)) is xsec(y)tan(y)