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

The answer to (\partial)/(\partial x)(tan(x)y) is ysec^2(x)

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(\partial)/(\partial x)(tan(x)y)

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

y sec^{2} (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y sec^{2} (x)

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