What is the derivative of ln(6x-5) ?

The derivative of ln(6x-5) is 6/(6x-5)

What is the first derivative of ln(6x-5) ?

The first derivative of ln(6x-5) is 6/(6x-5)

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\frac{d}{d x} (ln (6 x - 5))

\frac{6}{6 x - 5}

Solution steps

\frac{d}{d x} (ln (6 x - 5))

Apply the chain rule:

\frac{1}{6 x - 5} \frac{d}{d x} (6 x - 5)

= \frac{1}{6 x - 5} \frac{d}{d x} (6 x - 5)

\frac{d}{d x} (6 x - 5) = 6

= \frac{1}{6 x - 5} \cdot 6

Simplify

\frac{1}{6 x - 5} \cdot 6 : \frac{6}{6 x - 5}

= \frac{6}{6 x - 5}

\frac{d}{d x} (ln (x^{3} - 27 x - 5))

\frac{d y}{d x} = x - 2

2 (t - 3)^{2} + 14 (t - 3) + 27

f (x) = 2 x^{2} - 4 x + 5, (- 1, 11)

\frac{\frac{d y}{d x}}{2} = y

What is the derivative of ln(6x-5) ?
The derivative of ln(6x-5) is 6/(6x-5)
What is the first derivative of ln(6x-5) ?
The first derivative of ln(6x-5) is 6/(6x-5)