What is the derivative of ln(9x) ?

The derivative of ln(9x) is 1/x

What is the first derivative of ln(9x) ?

The first derivative of ln(9x) is 1/x

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derivative of

ln (9 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (9 x))

Apply the chain rule:

\frac{1}{9 x} \frac{d}{d x} (9 x)

= \frac{1}{9 x} \frac{d}{d x} (9 x)

\frac{d}{d x} (9 x) = 9

= \frac{1}{9 x} \cdot 9

Simplify

\frac{1}{9 x} \cdot 9 : \frac{1}{x}

= \frac{1}{x}

f (x) = x - 1, (5, 2)

n = 0 \sum \infty \frac{n ^{2}}{3 ^{n}}

e^{x} + 1

\int 9 x^{- 4} d x

\int \frac{3 x + 8}{( x + 4 ) ^{2}} d x