What is the derivative of ln(5x-4) ?

The derivative of ln(5x-4) is 5/(5x-4)

What is the first derivative of ln(5x-4) ?

The first derivative of ln(5x-4) is 5/(5x-4)

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\frac{d}{d x} (ln (5 x - 4))

\frac{5}{5 x - 4}

Solution steps

\frac{d}{d x} (ln (5 x - 4))

Apply the chain rule:

\frac{1}{5 x - 4} \frac{d}{d x} (5 x - 4)

= \frac{1}{5 x - 4} \frac{d}{d x} (5 x - 4)

\frac{d}{d x} (5 x - 4) = 5

= \frac{1}{5 x - 4} \cdot 5

Simplify

\frac{1}{5 x - 4} \cdot 5 : \frac{5}{5 x - 4}

= \frac{5}{5 x - 4}

\int \frac{1}{x ^{2} - 6 x + 34} d x

y^{^{''}} + y = - sin (3 x)

\frac{d}{d x} (2 sin (π x))

\frac{d}{d x} (e^{\frac{4 x}{3}})

(x^{- 2} + x^{- 3}) \cdot (x^{5} - 2 x^{2})

What is the derivative of ln(5x-4) ?
The derivative of ln(5x-4) is 5/(5x-4)
What is the first derivative of ln(5x-4) ?
The first derivative of ln(5x-4) is 5/(5x-4)