you are trying to determine the sign of f'(x) for values between critical numbers ...
Given the equation y=2x^2-8x+9, find the extreme values of the function and where they occur.
I know I have to find the derivative, then the critical numbers, but when it comes time for the number line, am I plugging numbers into the original equation or the derivative??
Alsooo, what happens after that?
I don't understand.
See, my teacher told me to first find the derivative, then find the critical numbers, and then make a number line with the critical numbers. So you'd have to pick a number on that line, and plug it in to determine whether you have a max value or min value.
The problem is, Idk if I plug the number from the number line into the derivative of the equation, or the original equation.
Did that confuse you?