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shefali sharma Grade: 12
        

f(x)= 1+2sinx + 3(cosx)^2, 0<=x<=2Π/3 is


a) min at x= Π/2


b)  min at x= Π/6

7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear Shefali Sharma,


Ans:- f(x)=1+2sinx +3cos²x


Differentiating WRT x we get = 2cosx-6sinx cosx and


the 2nd order differential is= -2sinx-6cos2x


putting dy/dx=0 we get sinx=1/3 && cosx=0


Hence applying the conditions for max and minima we get the values as


Max value:-13/3


Min value:-3


 


 


 


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All the best Shefali Sharma !!!


 



Regards,


Askiitians Experts
Soumyajit Das IIT Kharagpur

7 years ago
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