What is the derivative of ln(6-x) ?

The derivative of ln(6-x) is -1/(6-x)

What is the first derivative of ln(6-x) ?

The first derivative of ln(6-x) is -1/(6-x)

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\frac{d}{d x} (ln (6 - x))

- \frac{1}{6 - x}

Solution steps

\frac{d}{d x} (ln (6 - x))

Apply the chain rule:

\frac{1}{6 - x} \frac{d}{d x} (6 - x)

= \frac{1}{6 - x} \frac{d}{d x} (6 - x)

\frac{d}{d x} (6 - x) = - 1

= \frac{1}{6 - x} (- 1)

Simplify

= - \frac{1}{6 - x}

\frac{d}{d x} (\frac{( x ^{2} - 8 x + 15 )}{x ^{2} + 3 x + 2})

\frac{\partial}{\partial x} (4 x^{2} y^{3})

\int \frac{4 x}{4 x ^{4} + 9} d x

y = 3 x, y = 2 x - 3, y = 0

\int \frac{( x - b ) ^{2}}{x} d x

What is the derivative of ln(6-x) ?
The derivative of ln(6-x) is -1/(6-x)
What is the first derivative of ln(6-x) ?
The first derivative of ln(6-x) is -1/(6-x)