Implicit differentiation using the product rule

Implicit differentiation using the product rule

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the application of the product rule in calculus. It begins with an introduction to the product rule, followed by a detailed step-by-step application of the rule to differentiate expressions involving x and y squared. The tutorial also covers how to take derivatives of y squared with respect to x, including the use of dy/dx. Finally, it demonstrates how to rearrange terms to finalize the derivative expression.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of including dy/dx when differentiating y^2?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to rearrange terms after applying the product rule.

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