Implicit Differentiation Advanced Examples

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We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable. Some relationships cannot be represented by an explicit function. For Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ... Your support makes all the difference! By joining my Patreon, you'll help sustain and grow the content you love ...

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Last Updated: June 20, 2026

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Implicit Differentiation

We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a...