Learn the basics to implicit differentiation

Learn the basics to implicit differentiation

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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