The devil’s curve (Gabriel Cramer, 1750) Find the slopes

Chapter 3, Problem 45E

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QUESTION:

The devil's curve (Gabriel Cramer, 1750) Find the slopes of the devil's curve \(y^{4}-4 y^{2}=x^{4}-9 x^{2}\) at the four indicated points.

                

Equation Transcription:

Text Transcription:

y^4-4y^2=x^4-9x^2

Questions & Answers

QUESTION:

The devil's curve (Gabriel Cramer, 1750) Find the slopes of the devil's curve \(y^{4}-4 y^{2}=x^{4}-9 x^{2}\) at the four indicated points.

                

Equation Transcription:

Text Transcription:

y^4-4y^2=x^4-9x^2

ANSWER:

Solution:

Step 1 of 3:

In this problem, we need to find the slopes of the devil’s curve at the four indicated points.

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