What is the derivative of 9ln(x+8) ?

The derivative of 9ln(x+8) is 9/(x+8)

What is the first derivative of 9ln(x+8) ?

The first derivative of 9ln(x+8) is 9/(x+8)

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derivative of

9 ln (x + 8)

\frac{9}{x + 8}

Solution steps

\frac{d}{d x} (9 ln (x + 8))

Take the constant out:

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

= 9 \frac{d}{d x} (ln (x + 8))

Apply the chain rule:

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

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

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

= 9 \cdot \frac{1}{x + 8} \cdot 1

Simplify

9 \cdot \frac{1}{x + 8} \cdot 1 : \frac{9}{x + 8}

= \frac{9}{x + 8}

What is the derivative of 9ln(x+8) ?
The derivative of 9ln(x+8) is 9/(x+8)
What is the first derivative of 9ln(x+8) ?
The first derivative of 9ln(x+8) is 9/(x+8)