Exercise 3.3

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MA111: Prepared by Dr.Archara Pacheenburawana 33
y
5
−1
1
x
(d) Inc. on (−∞,∞); No loc. max and loc. min; CU on (0,∞);
CD on (−∞,0); IP (0,0)
y
x
e) Inc. on (−∞,−3)∪(−1,∞); dec. on (−3,−1); loc. max. f(−3) = 0;
loc. min. f(−1) = − 3√ 4; CU on (−∞,−3)∪(−3,0); CD on (0,∞); IP (0,0)
y
2
1
x
(f) Inc. on (0,π/2)∪(π,3π/2); dec. on (π/2,π)∪(3π/2,2π)
loc. max. f(π/1) = f(3π/2) = 1; loc. min. f(π) = 0
CU on (0,π/4)∪(3π/4,5π/4)∪(7π/4,2π); CD on (π/4,3π/4)∪(5π/4,7π/4)
IP (π/4, 1),(3π/4, 1),(5π/4, 1),(7π/4, 1)
2 2 2 2
y
1
0
π
2
π
3π
2
2π
x