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Popular >

derivative of ln(x^2-12x)

Solution

\frac{d}{d x} (ln (x^{2} - 12 x))

Solution

\frac{2 x - 12}{x ^{2} - 12 x}

Solution steps

\frac{d}{d x} (ln (x^{2} - 12 x))

Apply the chain rule:

\frac{1}{x ^{2} - 12 x} \frac{d}{d x} (x^{2} - 12 x)

= \frac{1}{x ^{2} - 12 x} \frac{d}{d x} (x^{2} - 12 x)

\frac{d}{d x} (x^{2} - 12 x) = 2 x - 12

= \frac{1}{x ^{2} - 12 x} (2 x - 12)

Simplify

\frac{1}{x ^{2} - 12 x} (2 x - 12) : \frac{2 x - 12}{x ^{2} - 12 x}

= \frac{2 x - 12}{x ^{2} - 12 x}

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Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-12x) ?
The derivative of ln(x^2-12x) is (2x-12)/(x^2-12x)
What is the first derivative of ln(x^2-12x) ?
The first derivative of ln(x^2-12x) is (2x-12)/(x^2-12x)