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Background on Example 8 Implicit Differentiation

Note that in the final two lines: d^2 y / dx should be d^2 y / dx^2 (I will make this correction). We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable. When the variables in a function cannot be easily seperated, it is handy to Is Ln of Y over 2 Z minus y so that's dzdx right and this should basically look just like
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Example 8: Implicit Differentiation
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Last Updated: May 28, 2026
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