Questions
The greatest value of on , is given b
a
92
b
52
c
332
d
32
detailed solution
Correct option is C
f'(x)=2cosx+2cos2x and f''(x)=-2sinx-4sin2xFor extreme value f'(x)=0⇒cosx+2cos2x-1=0⇒cosx=-1 or 1/2⇒x=π or π/3 as x∈[0,3π/2Now f(π)=0 and f(π/3)=232+32=332Also f(0)=0 and f(3π/2)=-2 so the greatest value of f(x) is 332Talk to our academic expert!
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