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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» (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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