What is (\partial)/(\partial x)(4tan(xy)) ?

The answer to (\partial)/(\partial x)(4tan(xy)) is 4sec^2(xy)y

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(\partial)/(\partial x)(4tan(xy))

\frac{\partial}{\partial x} (4 tan (x y))

4 sec^{2} (x y) y

Solution steps

\frac{\partial}{\partial x} (4 tan (x y))

Treat

y

as a constant

Take the constant out:

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

= 4 \frac{\partial}{\partial x} (tan (x y))

Apply the chain rule:

sec^{2} (x y) \frac{\partial}{\partial x} (x y)

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

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

= 4 sec^{2} (x y) y

What is (\partial)/(\partial x)(4tan(xy)) ?
The answer to (\partial)/(\partial x)(4tan(xy)) is 4sec^2(xy)y