What is the derivative of 9ln(x) ?

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

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

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

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

\frac{9}{x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

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

Simplify

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

= \frac{9}{x}