What is the derivative of ln(4x+9) ?

The derivative of ln(4x+9) is 4/(4x+9)

What is the first derivative of ln(4x+9) ?

The first derivative of ln(4x+9) is 4/(4x+9)

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\frac{d}{d x} (ln (4 x + 9))

\frac{4}{4 x + 9}

Solution steps

\frac{d}{d x} (ln (4 x + 9))

Apply the chain rule:

\frac{1}{4 x + 9} \frac{d}{d x} (4 x + 9)

= \frac{1}{4 x + 9} \frac{d}{d x} (4 x + 9)

\frac{d}{d x} (4 x + 9) = 4

= \frac{1}{4 x + 9} \cdot 4

Simplify

\frac{1}{4 x + 9} \cdot 4 : \frac{4}{4 x + 9}

= \frac{4}{4 x + 9}

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\int \frac{1}{2 y} d y

\int_{0}^{8} 5 x + 6 - x d x

What is the derivative of ln(4x+9) ?
The derivative of ln(4x+9) is 4/(4x+9)
What is the first derivative of ln(4x+9) ?
The first derivative of ln(4x+9) is 4/(4x+9)