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dIiscuss the global maxima/minima of followingfunction in the given interval f(x) = |x^(2) - 4x +3| in [0.5]. (b) f(x) = 3x^(4) - 2x^(3)-6x^(2)+6x+1 in [0,2]. (c) f(x) = sqrt((1-x^(2))(1+2x^(2)) in [-1,1] (d) f(x)=sinxsin2x in (-infty, infty).

Answer»


Answer :(a) Global maxima, `F(5)=8`; Global minima `f(1) = f(3) = 0`
(b) Global minima 1 and Global maxima 21.
(c) Global minima 0 and Global maxima `3/sqrt8`
(d) Global minima `-4/3 SQRT3` and Global maxima `4/3 sqrt3`.


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