The discussion revolves around the differentiation of the function y = x^2/(1-x^2), focusing on the first and second derivatives. Participants are verifying their differentiation process and results in the context of calculus.
The conversation is ongoing, with some participants expressing uncertainty about the correctness of their derivatives. Guidance has been offered regarding the need to square the denominator, indicating a potential direction for clarification.
There is a focus on ensuring all terms are included in the differentiation process, and participants are questioning the completeness of their calculations.
Hollysmoke said:I just wanted to make sure I differentiated this correctly before I started graphing it:
y=x^2/1-x^2
y' = (2x)/(1-x^2)^2
y''=(2+6x^2)/(1-x^2)^3