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Exercise

$\frac{d}{dx}\left(\frac{\arcsec\left(2x\right)}{\sqrt{4x^2-1}}\right)$

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Final answer to the exercise

$\left(\frac{1}{x\sqrt{4x^2-1}\mathrm{arcsec}\left(2x\right)}+\frac{-4x}{4x^2-1}\right)\frac{\mathrm{arcsec}\left(2x\right)}{\sqrt{4x^2-1}}$

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  • Find the derivative using the definition
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  • Integrate by partial fractions
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