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Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

2 Views· 04/01/24
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Some relationships cannot be represented by an explicit function. For example, x_+y_=1. Implicit differentiation helps us find _dy/dx even for relationships like that. This is done using the chain _rule, and viewing y as an implicit function of x. For example, according to the chain rule, the derivative of y_ would be 2y_(dy/dx). Created by Sal Khan.

Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/implicit-derivative-of-x-y-2-x-y-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB

Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-second-derivatives/v/second-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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