Find the Second Derivative using Implicit Differentiation with the Unit Circle x^2 + y^2 = 1

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Find the Second Derivative using Implicit Differentiation with the Unit Circle x^2 + y^2 = 1

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Now, how to solve the result like a differential equation to get the unit circle function, it is possible?

yosefpatinio
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So is half the circle concave and half convex or convex nowhere?

evionlast