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?
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?