What is the derivative of ln(1-5x) ?

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

What is the first derivative of ln(1-5x) ?

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

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derivative of

ln (1 - 5 x)

- \frac{5}{1 - 5 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - 5 x} (- 5) : - \frac{5}{1 - 5 x}

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

f (t) = e^{2 (t - 2)}

f (x) = \frac{1 + x}{( 2 x ^{2} + 1 ) ^{2}}

\frac{d}{d t} (t^{3} - 5 t^{2} + 9 t)

y = 2 x + 2, y = x^{2} - 2

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

What is the derivative of ln(1-5x) ?
The derivative of ln(1-5x) is -5/(1-5x)
What is the first derivative of ln(1-5x) ?
The first derivative of ln(1-5x) is -5/(1-5x)