MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Consider g(x)=lnx−4x2 for x>0. Which of the following best describes the critical point of g?
(a) It is a relative minimum because the graph is concave up at that point.
(b) It is a relative maximum because the graph is concave down at that point.
(c) It is a point of inflection where the concavity changes.
(d) There is no critical point because g′(x)=0 for x>0.