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

The answer to (\partial)/(\partial x)(ln(x)tan(y)) is (tan(y))/x

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

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

\frac{tan ( y )}{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= tan (y) \frac{1}{x}

Simplify

tan (y) \frac{1}{x} : \frac{tan ( y )}{x}

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

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