What is the derivative of ln(21x) ?

The derivative of ln(21x) is 1/x

What is the first derivative of ln(21x) ?

The first derivative of ln(21x) is 1/x

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\frac{d}{d x} (ln (21 x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (21 x))

Apply the chain rule:

\frac{1}{21 x} \frac{d}{d x} (21 x)

= \frac{1}{21 x} \frac{d}{d x} (21 x)

\frac{d}{d x} (21 x) = 21

= \frac{1}{21 x} \cdot 21

Simplify

\frac{1}{21 x} \cdot 21 : \frac{1}{x}

= \frac{1}{x}

g (x) = (x^{2} + 3) (x^{2} - 4 x)

- \frac{t}{4} - \frac{3}{8} sin (2 t)

\int_{0}^{1} π (x - x^{4}) d x

\int - 3 x^{- 1} d x

f (x) = (x^{3} - 2)

What is the derivative of ln(21x) ?
The derivative of ln(21x) is 1/x
What is the first derivative of ln(21x) ?
The first derivative of ln(21x) is 1/x