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Find the maximum and minimum value of f(x) = 2cos2x - cos4x where x is from 0 to pi

Posted by Vaibhav Kulkarni 4 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Gaurav Seth 4 years, 4 months ago

2cos2x-cos4x

=2 cos2x -2cos²2x +1

=-2(cos2x-1/2)² +3/2

minimum value occur when cos2x-1/2 will be maximum

=-2(-1-1/2)² +3/2

=-3
and minimum value is 3/2

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