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

The answer to (\partial)/(\partial t)(sqrt(t)) is 1/(2sqrt(t))

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(\partial)/(\partial t)(sqrt(t))

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

\frac{1}{2 t}

Solution steps

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

Apply radical rule:

a = a^{\frac{1}{2}}

= \frac{\partial}{\partial t} (t^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} t^{\frac{1}{2} - 1}

Simplify

\frac{1}{2} t^{\frac{1}{2} - 1} : \frac{1}{2 t}

= \frac{1}{2 t}

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

\frac{d}{d x} (\frac{x ^{6}}{2 - x ^{5}})

\frac{d}{d x} ((2.5)^{x})

y = 4 x e^{- k x}

\int \frac{64 - x ^{2}}{x} d x

What is (\partial)/(\partial t)(sqrt(t)) ?
The answer to (\partial)/(\partial t)(sqrt(t)) is 1/(2sqrt(t))