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Question

Question: Total number of critical points of f(x) = max. {sin x, cos x} " x Ī (– 2p, 2p) is equal to –...

Total number of critical points of

f(x) = max. {sin x, cos x} " x Ī (– 2p, 2p) is equal to –

A

5

B

7

C

4

D

) 3

Answer

7

Explanation

Solution

Critical are

x = 7π4\frac { - 7 \pi } { 4 }, 3π2\frac { - 3 \pi } { 2 }, 3π4\frac { - 3 \pi } { 4 }, 0, p/4, p/2, 5p/4