How to implicitly differentiate an evaluate through a point

How to implicitly differentiate an evaluate through a point

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial covers implicit differentiation, focusing on taking derivatives of implicit equations using D over DX. It explains the application of the product and quotient rules in differentiation. The tutorial then demonstrates how to solve for DY/DX and evaluate the slope at a given point by substituting specific values for X and Y. The process involves factoring and simplifying the equation to find the slope, which is the final answer.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the derivative of a constant behave in differentiation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for DY DX derived from the given equations?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to evaluate the slope at a given point using DY DX.

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