What is (\partial)/(\partial x)(zln(x)) ?

The answer to (\partial)/(\partial x)(zln(x)) is z/x

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(\partial)/(\partial x)(zln(x))

\frac{\partial}{\partial x} (z ln (x))

\frac{z}{x}

Solution steps

\frac{\partial}{\partial x} (z ln (x))

Treat

z

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= z \frac{1}{x}

Simplify

z \frac{1}{x} : \frac{z}{x}

= \frac{z}{x}

What is (\partial)/(\partial x)(zln(x)) ?
The answer to (\partial)/(\partial x)(zln(x)) is z/x