What is the derivative of ln(9-7x) ?

The derivative of ln(9-7x) is -7/(9-7x)

What is the first derivative of ln(9-7x) ?

The first derivative of ln(9-7x) is -7/(9-7x)

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derivative of

ln (9 - 7 x)

- \frac{7}{9 - 7 x}

Solution steps

\frac{d}{d x} (ln (9 - 7 x))

Apply the chain rule:

\frac{1}{9 - 7 x} \frac{d}{d x} (9 - 7 x)

= \frac{1}{9 - 7 x} \frac{d}{d x} (9 - 7 x)

\frac{d}{d x} (9 - 7 x) = - 7

= \frac{1}{9 - 7 x} (- 7)

Simplify

\frac{1}{9 - 7 x} (- 7) : - \frac{7}{9 - 7 x}

= - \frac{7}{9 - 7 x}

\int \frac{3 x ^{2} + 2 x + 1}{x} d x

\frac{d}{d x} (- 3 a sin (3 x) + b cos (3 x) \cdot 3)

\frac{d}{d x} (\frac{sin ( 2 x )}{x})

x \to 2 lim (9 - x^{2})

x \to - 2 lim (\frac{2 x - 1}{x + 2})

What is the derivative of ln(9-7x) ?
The derivative of ln(9-7x) is -7/(9-7x)
What is the first derivative of ln(9-7x) ?
The first derivative of ln(9-7x) is -7/(9-7x)