What is the derivative of ln(3x-5) ?

The derivative of ln(3x-5) is 3/(3x-5)

What is the first derivative of ln(3x-5) ?

The first derivative of ln(3x-5) is 3/(3x-5)

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\frac{d}{d x} (ln (3 x - 5))

\frac{3}{3 x - 5}

Solution steps

\frac{d}{d x} (ln (3 x - 5))

Apply the chain rule:

\frac{1}{3 x - 5} \frac{d}{d x} (3 x - 5)

= \frac{1}{3 x - 5} \frac{d}{d x} (3 x - 5)

\frac{d}{d x} (3 x - 5) = 3

= \frac{1}{3 x - 5} \cdot 3

Simplify

\frac{1}{3 x - 5} \cdot 3 : \frac{3}{3 x - 5}

= \frac{3}{3 x - 5}

y = \frac{( x - 2 ) ( x ^{2} + 2 x + 4 )}{x ^{3}}

x^{2} + y^{2}

\int_{0}^{1} 2 π (y) (y - y^{3}) d y

\int y^{6} (cos (3 y)) d y

\int (\frac{1}{x})^{2} d x

What is the derivative of ln(3x-5) ?
The derivative of ln(3x-5) is 3/(3x-5)
What is the first derivative of ln(3x-5) ?
The first derivative of ln(3x-5) is 3/(3x-5)