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Algebraic Identities

Find dydx: ...

Question

Find $\frac{d y}{d x}$ :
$y^{2} = a (b^{2} - x^{2})$

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Solution

$y^{2} = a (b^{2} - x^{2})$
$= y \frac{d y}{d x} = - 2 a x$
$\frac{d y}{d x} = \frac{- a x}{y}$

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