What is (\partial)/(\partial t)(sqrt(3t)) ?

The answer to (\partial)/(\partial t)(sqrt(3t)) is (sqrt(3))/(2sqrt(t))

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(\partial)/(\partial t)(sqrt(3t))

\frac{\partial}{\partial t} (3 t)

\frac{3}{2 t}

Solution steps

\frac{\partial}{\partial t} (3 t)

Apply the chain rule:

\frac{1}{2 3 t} \frac{\partial}{\partial t} (3 t)

= \frac{1}{2 3 t} \frac{\partial}{\partial t} (3 t)

\frac{\partial}{\partial t} (3 t) = 3

= \frac{1}{2 3 t} \cdot 3

Simplify

\frac{1}{2 3 t} \cdot 3 : \frac{3}{2 t}

= \frac{3}{2 t}

\frac{d y}{d x} = \frac{x + y - 2}{2 x + 2 y + 3}

\int \frac{1}{x ^{2} - 25} d x

\frac{\partial}{\partial x} (cos (x^{8} + y^{8}))

\frac{d}{d x} (5 x + 8)

\frac{1}{A ^{2} A}

What is (\partial)/(\partial t)(sqrt(3t)) ?
The answer to (\partial)/(\partial t)(sqrt(3t)) is (sqrt(3))/(2sqrt(t))