What is the derivative of ln(6x) ?

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

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

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

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derivative of

ln (6 x)

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x}

\frac{\partial}{\partial c} (16 d c^{2})

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

\int 3 sec^{2} (x) + 2 d x

\frac{\partial}{\partial y} (x y e^{7 y})

3 x^{2} y^{2} d x + (2 x^{3} y + 4 y^{3}) d y = 0