Consider the equation

Assuming the derivative exists, show that satisfies the equation

We differentiate the given equation with respect to (keeping in mind that is a function of , so we must use the chain rule).

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Stumbling Robot

A Fraction of a Dot
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Show that the derivative of an implicit function satisfies an equation

Consider the equation

Assuming the derivative exists, show that satisfies the equation

We differentiate the given equation with respect to (keeping in mind that is a function of , so we must use the chain rule).