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

The derivative of ln(x-7) is 1/(x-7)

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

The first derivative of ln(x-7) is 1/(x-7)

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

\frac{1}{x - 7}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{x - 7} \cdot 1

Simplify

= \frac{1}{x - 7}

\frac{10 x + x ^{2}}{( 5 + x ) ^{2}}

\int e^{x} 2 + e^{x} d x

\int \frac{x ^{3}}{( 4 x ^{2} + 9 ) ^{\frac{3}{2}}} d x

\frac{1}{7 - 10 e ^{x}}

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

What is the derivative of ln(x-7) ?
The derivative of ln(x-7) is 1/(x-7)
What is the first derivative of ln(x-7) ?
The first derivative of ln(x-7) is 1/(x-7)