Use the following properties of a function to determine the location of any local extrema
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Use the following properties of a function f(x) to determine the location of any local extrema.
x
x<−3
−3
−3<x<1
1
1<x<4
4
x>4
f′(x)
−
0
+
0
−
DNE
−
Note: f(4) is undefined.
(a) Local maximum at x=−3 and local minimum at x=1.
(b) No local extrema.
(c) No local maximum and local minimum at x=4.
(d) Local maximum at x=1 and local minimum at x=−3.