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

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

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

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

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derivative of

ln (3 - 5 x)

- \frac{5}{3 - 5 x}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{3 - 5 x} (- 5)

Simplify

\frac{1}{3 - 5 x} (- 5) : - \frac{5}{3 - 5 x}

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

\frac{d}{d x} (\frac{3 tan ( x )}{x})

f (x) = \frac{( a x + b )}{c x + d}

\frac{1}{8} y^{3}

\frac{d ^{2}}{d x ^{2}} (5 csc (x))

ln (\frac{1 + 2 x}{1 - 3 x})

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