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Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values.`y = cos x (1 + sin x), x in [0,2 pi]`

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The correct Answer is:
min. at `x = (5pi)/(6)`, min value = `(-3 sqrt(3))/(4)` and max. at `x = (pi)/(6)`, max. value `= (3 sqrt(3))/(4), y ((3pi)/(2))` is a point of inflection.
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ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (D))
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