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

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

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

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

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

\frac{2}{2 x - 3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{( 5 e ^{- s} )}{s + 1}

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\frac{d}{d y} (\frac{x}{( x + y ) ^{2}})

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

\int x^{3} - \frac{1}{x ^{2}} - x^{\frac{2}{3}} d x

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