What is the derivative of ln(3x+2) ?

The derivative of ln(3x+2) is 3/(3x+2)

What is the first derivative of ln(3x+2) ?

The first derivative of ln(3x+2) is 3/(3x+2)

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derivative of

ln (3 x + 2)

\frac{3}{3 x + 2}

Solution steps

\frac{d}{d x} (ln (3 x + 2))

Apply the chain rule:

\frac{1}{3 x + 2} \frac{d}{d x} (3 x + 2)

= \frac{1}{3 x + 2} \frac{d}{d x} (3 x + 2)

\frac{d}{d x} (3 x + 2) = 3

= \frac{1}{3 x + 2} \cdot 3

Simplify

\frac{1}{3 x + 2} \cdot 3 : \frac{3}{3 x + 2}

= \frac{3}{3 x + 2}

n \to \infty lim (i = 1 \sum n \frac{i ^{3}}{n ^{4}} + \frac{1}{n})

m (t) = 5 t (3 t^{4} - 1)^{5}

\frac{d}{d x} (x cos (y) - y e^{x})

f (x) = 6 x^{5} e^{x} + e^{x} x^{6}

\int tan (x) [ln (cos (x))] d x

What is the derivative of ln(3x+2) ?
The derivative of ln(3x+2) is 3/(3x+2)
What is the first derivative of ln(3x+2) ?
The first derivative of ln(3x+2) is 3/(3x+2)