Find y'' by implicit differentiation

AI Thread Summary
To find the second derivative y'' using implicit differentiation for the equation x^4 + y^4 = 1, the first derivative is determined as y' = -x^3/y^3. The expression for y'' is derived but becomes complex, leading to confusion in simplification. Some participants suggest that further simplification may not be necessary, while others recommend learning LaTeX for clearer presentation of mathematical expressions. Overall, the focus remains on obtaining and understanding the second derivative rather than perfecting its form.
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?
 
Theres 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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