What is the derivative of ln(5x) ?

The derivative of ln(5x) is 1/x

What is the first derivative of ln(5x) ?

The first derivative of ln(5x) is 1/x

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derivative of

ln (5 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (5 x))

Apply the chain rule:

\frac{1}{5 x} \frac{d}{d x} (5 x)

= \frac{1}{5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= \frac{1}{5 x} \cdot 5

Simplify

\frac{1}{5 x} \cdot 5 : \frac{1}{x}

= \frac{1}{x}

\int_{- π}^{π} cos (n x) d x

y^{^{'}} = cos (x)

\frac{e ^{- 2 s}}{s + 3}

\frac{d}{d x} (x^{2} \cdot tan (x))

x = - 2, x = 2, y = 4 x, y = x^{2} - 5