Question 23 How many critical points does the function $g(x) = |1 - x^2|$ have? 0 3 0 1 0 4 0 2 1 pts
Added by Steven H.
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If x > 2, then g(x) = x-2 and g'(x) = 1. If x < 2, then g(x) = 2-x and g'(x) = -1. If x = 2, then g(x) is not differentiable. So, the critical point occurs at x = 2, but it is not a local extremum because the function is not differentiable at that point. Show more…
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