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Answer to Question #24139 in Calculus for Rockney Shepheard
Question #24139
I want to find the rate of change of the area of any rectangle with respect to it's hypotenuse. I know how to do derivatives but I don't have any idea what equation to apply it to. Would it be the equation of the area or the hypotenuse I would take a derivative of? Is there a rule in calculus that would make it clear which one to use given (dA/dH), such as..."always take the deriviative of the one on top (dA/dH)? Thanks!
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#339914 on Dec 2023
#339914 on Dec 2023
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But according to KhanAcademy the answer should be 1/2(x^2-a^2)^-1/2 x ((2x-2a)*da/dx) https://www.khanacademy.org/math/calculus/differential-calculus/implicit_differentiation/v/implicit-derivative-of--x-2-y-2--3---5x-2y-2 What might I be missing?
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Thank you. That is precisely the kind of answer I was seeking.
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