Consider the equation

Show that satisfies

(Assume the second derivative exists.)

We differentiate (keeping in mind we must use the chain rule to differentiate since it is a function of ),

Thus, .

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#
Stumbling Robot

A Fraction of a Dot
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Establish properties of y” given 3x^2 + 4y^2 = 12

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### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Consider the equation

Show that satisfies

(Assume the second derivative exists.)

We differentiate (keeping in mind we must use the chain rule to differentiate since it is a function of ),

Thus, .

I think it should be (9x^2)/y instead of (9x^2)/4y in the fourth equality