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Popular >

derivative of ln(xsqrt(x^2-3))

Solution

\frac{d}{d x} (ln (x x^{2} - 3))

Solution

\frac{2 x ^{2} - 3}{x ( x ^{2} - 3 )}

Solution steps

\frac{d}{d x} (ln (x x^{2} - 3))

Apply the chain rule:

\frac{1}{x x ^{2} - 3} \frac{d}{d x} (x x^{2} - 3)

= \frac{1}{x x ^{2} - 3} \frac{d}{d x} (x x^{2} - 3)

\frac{d}{d x} (x x^{2} - 3) = \frac{2 x ^{2} - 3}{x ^{2} - 3}

= \frac{1}{x x ^{2} - 3} \cdot \frac{2 x ^{2} - 3}{x ^{2} - 3}

Simplify

\frac{1}{x x ^{2} - 3} \cdot \frac{2 x ^{2} - 3}{x ^{2} - 3} : \frac{2 x ^{2} - 3}{x ( x ^{2} - 3 )}

= \frac{2 x ^{2} - 3}{x ( x ^{2} - 3 )}

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\int_{- 1}^{- 0.2588} e^{- i π^{2} w s} d w

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Frequently Asked Questions (FAQ)

What is the derivative of ln(xsqrt(x^2-3)) ?
The derivative of ln(xsqrt(x^2-3)) is (2x^2-3)/(x(x^2-3))
What is the first derivative of ln(xsqrt(x^2-3)) ?
The first derivative of ln(xsqrt(x^2-3)) is (2x^2-3)/(x(x^2-3))