What is the derivative of ln(8x) ?

The derivative of ln(8x) is 1/x

What is the first derivative of ln(8x) ?

The first derivative of ln(8x) is 1/x

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derivative of

ln (8 x)

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

n = 1 \sum \infty \frac{n}{2 n ^{2} + 1}

\int_{0}^{3} x e^{- x} d x

\frac{A}{y ^{12}} + B e^{y}

f (x) = x^{2} - 6, (3, 3)

\frac{d}{d x} (x ln (x^{2} + 1))