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anonymous
 one year ago
Referring to question 5A3f, why is d/dx(arcsin(a/x)) = a/(x(((x^2)(a^2))^(1/2))?
anonymous
 one year ago
Referring to question 5A3f, why is d/dx(arcsin(a/x)) = a/(x(((x^2)(a^2))^(1/2))?

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phi
 one year ago
Best ResponseYou've already chosen the best response.0Here is a derivation by Khan, who is a good explainer: https://www.khanacademy.org/math/differentialcalculus/takingderivatives/derivativesinversefunctions/v/derivativeinversesine to follow this, you must understand implicit differentiation: https://www.khanacademy.org/math/differentialcalculus/takingderivatives/implicit_differentiation/v/implicitdifferentiation1 and of course how to take the derivative of sin x https://www.khanacademy.org/math/differentialcalculus/takingderivatives/chain_rule/v/derivativesofsinxcosxtanxexandlnx
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