Implicit differentiation using the chain and product rule with cosine

Implicit differentiation using the chain and product rule with cosine

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

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The video tutorial explains the application of the chain rule in calculus, focusing on differentiating composite functions. It begins by identifying the outer and inner functions, using cosine and XY as examples. The tutorial then demonstrates how to find the derivative of the inner function XY with respect to X, incorporating implicit differentiation. Next, it covers the derivative of the outer function, cosine, and how to combine these derivatives using the chain rule. The tutorial concludes by emphasizing the importance of understanding both the chain rule and product rule in calculus.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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