Question

(calculus) Can someone explain why x=3 is neither a relative max or min?...

Answer 1

http://apcentral.collegeboard.com/apc/public/repository/ap10_calculus_ab_scoring_guidelines.pdf

question 5 part c

Answer 2

The equation x=3 represents a vertical line through x=3 on the x- or horizontal axis.

It's NOT a point; it's a line.

A max or min is a POINT on a curve.

Answer 3

Perhaps I'm overlooking something, but I see no connection between Question 5 Part c and the line x=3.

Answer 4

Question 5 asks tind the x-coordinate of each critical point of h(x)=g(x)-(1/2)x^2 and they give the graph of g'(x).
I found the critical points x=sqrt 2 and x=3.
But the answer says h(x) has neither a max or min at x=3.