I can't do this for the life of me, I should be able to. Argh. For the relation 3x^2 - y^2 = 7, show that y'' = -21/y^3. Do I use implicit differentiation after re-arranging for y? I'm stuck. :|
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Solving for y: Then, using the chain rule: Now, differentiating again, using the quotient rule: which does work out to . Let me know if you have trouble with the simplifying, but I assume your question was more about the differentiation.
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