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

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

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(\partial)/(\partial x)(sqrt(3x))

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

\frac{3}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{3}{2 x}

y^{^{'}} - 4 y = 7 e^{4 x}

\int \frac{1}{x ^{2} + 11 x + 30} d x

\int x \cdot e^{- a x} d x

\int \frac{x ^{2}}{( x ^{2} + 4 x + 5 ) ^{2}} d x

\frac{d}{d x} (\frac{1}{2 x + 5})

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