What is the derivative of ln(4x) ?

The derivative of ln(4x) is 1/x

What is the first derivative of ln(4x) ?

The first derivative of ln(4x) is 1/x

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derivative of

ln (4 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (4 x))

Apply the chain rule:

\frac{1}{4 x} \frac{d}{d x} (4 x)

= \frac{1}{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= \frac{1}{4 x} \cdot 4

Simplify

\frac{1}{4 x} \cdot 4 : \frac{1}{x}

= \frac{1}{x}

\frac{d}{d x} (e^{c o s (x)} sin (x))

\int_{0}^{a} x sin^{2} (\frac{π x}{a}) d x

\int_{1}^{9} 9 x^{2} d x

y = \frac{88 t}{99 t - 88}

\frac{d}{d x} (x - y^{2})