What is the derivative of ln(6x+1) ?

The derivative of ln(6x+1) is 6/(6x+1)

What is the first derivative of ln(6x+1) ?

The first derivative of ln(6x+1) is 6/(6x+1)

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\frac{d}{d x} (ln (6 x + 1))

\frac{6}{6 x + 1}

Solution steps

\frac{d}{d x} (ln (6 x + 1))

Apply the chain rule:

\frac{1}{6 x + 1} \frac{d}{d x} (6 x + 1)

= \frac{1}{6 x + 1} \frac{d}{d x} (6 x + 1)

\frac{d}{d x} (6 x + 1) = 6

= \frac{1}{6 x + 1} \cdot 6

Simplify

\frac{1}{6 x + 1} \cdot 6 : \frac{6}{6 x + 1}

= \frac{6}{6 x + 1}

\frac{\partial}{\partial x} (yz - ln (x + z))

f (x) = x^{2} 2 x + 4

x^{2} \frac{d y}{d x} + x y = 3

\frac{d}{d x} ((1 + cos (2 x))^{- 4})

What is the derivative of ln(6x+1) ?
The derivative of ln(6x+1) is 6/(6x+1)
What is the first derivative of ln(6x+1) ?
The first derivative of ln(6x+1) is 6/(6x+1)