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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 5

Lesson 2: Extreme value theorem, global versus local extrema, and critical points

Extreme value theorem
Critical points introduction
Finding critical points
Find critical points

Find critical points

AP.CALC: FUN‑1 (EU), FUN‑1.C (LO), FUN‑1.C.1 (EK), FUN‑1.C.2 (EK), FUN‑1.C.3 (EK)

Let g, left parenthesis, x, right parenthesis, equals, sine, left parenthesis, 3, x, right parenthesis, for 0, is less than or equal to, x, is less than or equal to, pi.

Where does g have critical points?

(Choice A)
x, equals, start fraction, pi, divided by, 6, end fraction
(Choice B)
x, equals, start fraction, pi, divided by, 2, end fraction
(Choice C)
x, equals, start fraction, 5, pi, divided by, 6, end fraction
(Choice D)
g has no critical points.

Stuck?

AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 5

Problem