Finding the subnormal using Descartes normal method

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SUMMARY

The discussion focuses on finding the subnormal using the Descartes normal method applied to the function f(x) = 1/x. A participant expresses confusion regarding the definition of the subnormal and the Descartes normal method, indicating a lack of familiarity with these concepts. The conversation highlights the challenge of deriving a fourth-degree equation in x while attempting to utilize LaTeX for mathematical expressions. The need for clarity on terminology and methods is emphasized.

PREREQUISITES
  • Understanding of calculus concepts, specifically derivatives and normals.
  • Familiarity with the function f(x) = 1/x and its properties.
  • Knowledge of LaTeX for mathematical formatting.
  • Basic understanding of polynomial equations, particularly fourth-degree equations.
NEXT STEPS
  • Research the definition and properties of subnormals in calculus.
  • Study the Descartes normal method and its applications in curve analysis.
  • Practice using LaTeX for formatting mathematical equations effectively.
  • Explore solving fourth-degree polynomial equations and their significance in calculus.
USEFUL FOR

Students studying calculus, mathematics educators, and anyone interested in advanced mathematical methods for curve analysis.

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Homework Statement



find the subnormal using Descartes normal method.

Homework Equations



f\left( x \right)\; =\; \frac{1}{x},\;

The Attempt at a Solution



i get an 4th degree equation in x!

however this is my first post and i really wanted to try the LateX thing. first time.

Homework Statement


Homework Equations


The Attempt at a Solution

 
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obviously i suck at LateX
 


Is the function f(x) = 1/x?

How is the subnormal defined? I've never heard of it, or the Descartes normal method, either. Possibly you are using different terminology.
 

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