The discussion revolves around finding the maximum and minimum values of y in relation to the equation x^3 = 8 ± 2(14)^(1/2). Participants are exploring the implications of this equation within the context of calculus, particularly focusing on the relationship between x and y.
The discussion is ongoing, with various participants sharing their approaches and questioning each other's reasoning. Some have provided insights into the use of derivatives and the implications of their findings, while others are still grappling with the definitions and methods required to progress.
There are mentions of confusion regarding the use of calculators for approximations and the need for clarity on the original problem statement. Participants are also discussing the validity of using sign tests and the conditions under which they apply.
Liang Wei said:can I use the sign test to find the maximum and minimum values from this kind of equation?
Oh that one, for that you need to know the interval, and it requires you to solve for x.Liang Wei said:Sign test is a test which you use a value which lies inside the interval of a variable,example x then substitute it into dy/dx to find the sign and we can find the maxima and minima.
but anyways I manage to prove it by using 2nd derivative but not sure correct or wrong.