What is the derivative of ln(5x+2) ?

The derivative of ln(5x+2) is 5/(5x+2)

What is the first derivative of ln(5x+2) ?

The first derivative of ln(5x+2) is 5/(5x+2)

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\frac{d}{d x} (ln (5 x + 2))

\frac{5}{5 x + 2}

Solution steps

\frac{d}{d x} (ln (5 x + 2))

Apply the chain rule:

\frac{1}{5 x + 2} \frac{d}{d x} (5 x + 2)

= \frac{1}{5 x + 2} \frac{d}{d x} (5 x + 2)

\frac{d}{d x} (5 x + 2) = 5

= \frac{1}{5 x + 2} \cdot 5

Simplify

\frac{1}{5 x + 2} \cdot 5 : \frac{5}{5 x + 2}

= \frac{5}{5 x + 2}

x + 12

\frac{\partial}{\partial x} (- \frac{2 y}{3 + 2 x})

\int \frac{- 28}{x ^{2} x ^{2} + 25} d x

x \to 10 lim (\frac{1}{x - 10})

n = 1 \sum \infty (- \frac{3}{2})^{n}

What is the derivative of ln(5x+2) ?
The derivative of ln(5x+2) is 5/(5x+2)
What is the first derivative of ln(5x+2) ?
The first derivative of ln(5x+2) is 5/(5x+2)