Question

How do you determine critical points for any polynomial?

Answer 1

by finding the first derivative of the polynomial and find the values of the variable at which the first derivative equals zero

Explanation:

for example:
`y=x^2-2x`
by finding the first derivative
`y'=2x-2`
so `y'=0` when `2x-2=0`
and by solving it the `x` co_ordinate of the critical point of the function `=1`
so the critical point will be `(1,-1)`