What is (\partial)/(\partial x)(ln(8x)) ?

The answer to (\partial)/(\partial x)(ln(8x)) is 1/x

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(\partial)/(\partial x)(ln(8x))

\frac{\partial}{\partial x} (ln (8 x))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (ln (8 x))

Apply the chain rule:

\frac{1}{8 x} \frac{\partial}{\partial x} (8 x)

= \frac{1}{8 x} \frac{\partial}{\partial x} (8 x)

\frac{\partial}{\partial x} (8 x) = 8

= \frac{1}{8 x} \cdot 8

Simplify

\frac{1}{8 x} \cdot 8 : \frac{1}{x}

= \frac{1}{x}

\frac{d}{d x} (\frac{( e ^{x} - 1 )}{( e ^{x} + 1 )})

\frac{\partial}{\partial x} (ln (5 x + 2 y))

x \to 6 lim (1)

ln (1 + x), at (x = 2)

3 x^{2} - 4 x

What is (\partial)/(\partial x)(ln(8x)) ?
The answer to (\partial)/(\partial x)(ln(8x)) is 1/x