Find y'' by implicit differentiation

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Homework Help Overview

The discussion revolves around finding the second derivative, y'', through implicit differentiation of the equation x^4 + y^4 = 1. The original poster attempts to derive y'' but encounters difficulties in simplification.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the original poster's approach to finding y'' and question the necessity of simplification. Some express that the second derivative is already obtained, while others suggest that the expression could be made clearer by removing negative signs.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's work. There is a mix of opinions regarding the need for simplification and the clarity of the expression. No consensus has been reached on the best way to proceed.

Contextual Notes

Some participants mention the use of LaTeX for clarity in mathematical expressions, indicating a potential barrier for the original poster in presenting their work effectively.

gillgill
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Find y'' by implicit differentiation
x^4+y^4=1
i found that y'=-x^3/y^3
y''=[(y^3)(-3x^2)-(-x^3)(3y^2)(y')]/(y^3)^2
y''=[-3x^2(y^3)-(-x^3)(3y^2)(-x^3/y^3)]/y^6
then i am stuck...please help...thanks
 
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You really hsould learn latex.

Anyway, you already have the second derivative.. simplifying isn't important.
 
can anybody teach me latex then?
 
there's a readme on it in one of the forums, i think its general physics.
 
Just read over quotations from those that use it.
 
I don't think you need to simplify anything...
 
It looks horrible with those minus signs.U could get rid of them.

Daniel.
 

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