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Popular >

derivative of ln(2x^2-1)

Solution

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

Solution

\frac{4 x}{2 x ^{2} - 1}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{2} - 1) = 4 x

= \frac{1}{2 x ^{2} - 1} \cdot 4 x

Simplify

\frac{1}{2 x ^{2} - 1} \cdot 4 x : \frac{4 x}{2 x ^{2} - 1}

= \frac{4 x}{2 x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of ln(2x^2-1) ?
The derivative of ln(2x^2-1) is (4x)/(2x^2-1)
What is the first derivative of ln(2x^2-1) ?
The first derivative of ln(2x^2-1) is (4x)/(2x^2-1)