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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\frac{d}{d x} (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}

\frac{d}{d x} (\frac{2}{x ^{3} ln ( 10 )})

\frac{\partial}{\partial y} (y - x)

x = y, y^{2} - 2 y = x

y = 3 x^{2} + 2

\int (\frac{1}{2} - \frac{1}{2} cos (2 θ - \frac{π}{4})) d θ

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)