What is the derivative of ln(7x) ?

The derivative of ln(7x) is 1/x

What is the first derivative of ln(7x) ?

The first derivative of ln(7x) is 1/x

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derivative of

ln (7 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (7 x))

Apply the chain rule:

\frac{1}{7 x} \frac{d}{d x} (7 x)

= \frac{1}{7 x} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= \frac{1}{7 x} \cdot 7

Simplify

\frac{1}{7 x} \cdot 7 : \frac{1}{x}

= \frac{1}{x}

t an g e n t f (x) = lo g_{5} (2 x^{2} + 7), at x = 3

\frac{d}{d x} ((\frac{2 x + 1}{e + 1})^{e})

\int_{0}^{5} ∣ x - 2 ∣ d x

\int_{0}^{9} \frac{1}{( x - 1 ) ^{\frac{1}{3}}} d x

\frac{d}{d x} (a x sin (4 x) + b x cos (4 x))