What is the derivative of ln(2x-5) ?

The derivative of ln(2x-5) is 2/(2x-5)

What is the first derivative of ln(2x-5) ?

The first derivative of ln(2x-5) is 2/(2x-5)

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derivative of

ln (2 x - 5)

\frac{2}{2 x - 5}

Solution steps

\frac{d}{d x} (ln (2 x - 5))

Apply the chain rule:

\frac{1}{2 x - 5} \frac{d}{d x} (2 x - 5)

= \frac{1}{2 x - 5} \frac{d}{d x} (2 x - 5)

\frac{d}{d x} (2 x - 5) = 2

= \frac{1}{2 x - 5} \cdot 2

Simplify

\frac{1}{2 x - 5} \cdot 2 : \frac{2}{2 x - 5}

= \frac{2}{2 x - 5}

arctan (s)

\int e^{- x} x^{2} d x

\frac{d}{d x} (3 a b^{2} x^{4})

\int 6 \cdot sin (2 x) - 3 \cdot cos (3 x) d x

x \frac{d y}{d x} = y

What is the derivative of ln(2x-5) ?
The derivative of ln(2x-5) is 2/(2x-5)
What is the first derivative of ln(2x-5) ?
The first derivative of ln(2x-5) is 2/(2x-5)