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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 example, x_+y_=1. 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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Implicit Differentiation
Worked example: Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
Implicit differentiation shortcut (calculus 3)
The calculus 3 version of implicit differentiation