What is the derivative of ln(5x+3) ?

The derivative of ln(5x+3) is 5/(5x+3)

What is the first derivative of ln(5x+3) ?

The first derivative of ln(5x+3) is 5/(5x+3)

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\frac{d}{d x} (ln (5 x + 3))

\frac{5}{5 x + 3}

Solution steps

\frac{d}{d x} (ln (5 x + 3))

Apply the chain rule:

\frac{1}{5 x + 3} \frac{d}{d x} (5 x + 3)

= \frac{1}{5 x + 3} \frac{d}{d x} (5 x + 3)

\frac{d}{d x} (5 x + 3) = 5

= \frac{1}{5 x + 3} \cdot 5

Simplify

\frac{1}{5 x + 3} \cdot 5 : \frac{5}{5 x + 3}

= \frac{5}{5 x + 3}

\int 4 e^{- x} (e^{- 3 x} + 1) d x

\frac{d}{d x} (\frac{9 x}{e ^{x}})

f (x) = arccos (3 x)

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

\frac{d y}{d x} = x^{2} (1 - y)

What is the derivative of ln(5x+3) ?
The derivative of ln(5x+3) is 5/(5x+3)
What is the first derivative of ln(5x+3) ?
The first derivative of ln(5x+3) is 5/(5x+3)