Local Maxima
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Q. Let x1, x2, x3 be the critical points of the function f(x)=3x4+4x3−12x2+4 and f(x) has local maximum at x2 and local minimum at x1, x3 (x1<x3). The number of real roots of the equation f(x)=0 in the interval [x1, x3] is equal to
Q.
Let f(x)=⎧⎨⎩∣∣x2−3x∣∣+a, 0≤x<32−2x+3 x≥32 If f(x) has a local maximum at x =.
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