What is (\partial)/(\partial t)(sqrt(x)ln(t)) ?

The answer to (\partial)/(\partial t)(sqrt(x)ln(t)) is (sqrt(x))/t

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(\partial)/(\partial t)(sqrt(x)ln(t))

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

\frac{x}{t}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x \frac{1}{t}

Simplify

x \frac{1}{t} : \frac{x}{t}

= \frac{x}{t}

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What is (\partial)/(\partial t)(sqrt(x)ln(t)) ?
The answer to (\partial)/(\partial t)(sqrt(x)ln(t)) is (sqrt(x))/t