Learn the basics to implicit differentiation

Learn the basics to implicit differentiation

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains implicit differentiation, focusing on deriving equations without explicitly solving for Y. It covers taking derivatives with respect to X, using the chain rule, and solving for Y prime. The tutorial emphasizes the importance of using dy/dx over Y prime for clarity. The final solution involves substituting back the value of Y to find the derivative.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the derivative of X^2 with respect to X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the chain rule in the context of differentiating Y with respect to X.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is Y prime considered faster and easier than using DY DX?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you derive the expression for DY DX when Y is equal to 4 - X^2 raised to the 1/2?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the plus or minus sign indicate when solving for Y in the context of derivatives?

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