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Popular >

derivative of ln(9x^2-11)

Solution

\frac{d}{d x} (ln (9 x^{2} - 11))

Solution

\frac{18 x}{9 x ^{2} - 11}

Solution steps

\frac{d}{d x} (ln (9 x^{2} - 11))

Apply the chain rule:

\frac{1}{9 x ^{2} - 11} \frac{d}{d x} (9 x^{2} - 11)

= \frac{1}{9 x ^{2} - 11} \frac{d}{d x} (9 x^{2} - 11)

\frac{d}{d x} (9 x^{2} - 11) = 18 x

= \frac{1}{9 x ^{2} - 11} \cdot 18 x

Simplify

\frac{1}{9 x ^{2} - 11} \cdot 18 x : \frac{18 x}{9 x ^{2} - 11}

= \frac{18 x}{9 x ^{2} - 11}

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Frequently Asked Questions (FAQ)

What is the derivative of ln(9x^2-11) ?
The derivative of ln(9x^2-11) is (18x)/(9x^2-11)
What is the first derivative of ln(9x^2-11) ?
The first derivative of ln(9x^2-11) is (18x)/(9x^2-11)