1.

Let f(x) = sin x (1+cos x) , x in (0,2pi). Find thenumberof criticalpointsof f(x) . Also identify whichof these critical points are points of Maxima//Minima.

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Answer :THREE
`X=(PI)/(3)` ispointof maxima.
`x =pi` is nota pointof extrema.
`x=(5PI)/(3k)` ispoint ofminima.


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