What is the derivative of ln(15x) ?

The derivative of ln(15x) is 1/x

What is the first derivative of ln(15x) ?

The first derivative of ln(15x) is 1/x

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derivative of

ln (15 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (15 x))

Apply the chain rule:

\frac{1}{15 x} \frac{d}{d x} (15 x)

= \frac{1}{15 x} \frac{d}{d x} (15 x)

\frac{d}{d x} (15 x) = 15

= \frac{1}{15 x} \cdot 15

Simplify

\frac{1}{15 x} \cdot 15 : \frac{1}{x}

= \frac{1}{x}

f (x) = x^{12}

x \to - 3 lim (\frac{3 x + 1}{x - 3})

\frac{\partial}{\partial x} ((x^{5} + y^{3})^{7})

\int \frac{z}{( s ^{2} + z ^{2} ) ^{\frac{3}{2}}} d z

m (x) = \frac{- x ^{2} + 6 x - 8}{- x ^{2} + 6 x - 2}

What is the derivative of ln(15x) ?
The derivative of ln(15x) is 1/x
What is the first derivative of ln(15x) ?
The first derivative of ln(15x) is 1/x