How do you determine critical points for any polynomial?

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How do you determine critical points for any polynomial?

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Answer 1 · 2018-03-29T12:06:49

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)#

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How do you determine critical points for any polynomial?

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