Difference between revisions of "Math 22 Implicit Differentiation"
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==Implicit Differentiation== | ==Implicit Differentiation== | ||
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| + | Consider the equation <math>x^2y=5</math>. To find <math>\frac{dy}{dx}</math>, we can rewrite the equation as <math>y=\frac{5}{x^2}</math>, then differentiate as usual. ie: <math>y=\frac{5}{x^2}=5x^{-2}</math>, so <math>\frac{dy}{dx}=-10x^{-3}</math> | ||
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Under Construction | Under Construction | ||
Revision as of 09:04, 25 July 2020
Implicit Differentiation
Consider the equation . To find , we can rewrite the equation as Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y={\frac {5}{x^{2}}}} , then differentiate as usual. ie: Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y={\frac {5}{x^{2}}}=5x^{-2}} , so
Under Construction
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