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

The answer to (\partial)/(\partial x)(ln(3x)) is 1/x

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(\partial)/(\partial x)(ln(3x))

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

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

x \to \infty lim (8 x^{2} e^{- x})

y^{^{''}} - y^{^{'}} + y = e^{2 t}

\frac{d}{d x} (x (cosh (\frac{200}{x}) - 1) - 100)

f (x) = 2 x^{2} + x, at x = 1

\int_{0}^{1} (8 x - 1)^{2} d x

What is (\partial)/(\partial x)(ln(3x)) ?
The answer to (\partial)/(\partial x)(ln(3x)) is 1/x