1.

Find points of local maxima //minima of (i) f(x) =(2'-1)(2'-2)^(2) (ii) f(x) =x^(2) e^(-x) (iii) f(x) =3cos^(4)x +10cos^(3)x +6cos^(2)x-3,x in [0,pi] (iv) f(x) =2x +3x^(2//3) (v) f(x) =|(x^(2)-2)/(x^(2)-1)|

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Answer :(i) localmaxima at `x=log_(2) (4)/(3)` andlocalminima at x=1
(ii) localmin at 0, localmax at 2
(iii) localmax at`x=0 (2pi)/(3),` local MIN at`x=(PI)/(2), pi`
(IV) localmaximaat -1and localminma at 0
(v) localminimaat `x=+- SQRT(2) , 0`


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