Math 22 Implicit Differentiation

Implicit Differentiation

Consider the equation $x^{2}y=5$. To find ${\frac {dy}{dx}}$, we can rewrite the equation as $y={\frac {5}{x^{2}}}$, then differentiate as usual. ie: $y={\frac {5}{x^{2}}}=5x^{-2}$, so ${\frac {dy}{dx}}=-10x^{-3}$

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