If f(x)={{:(,5 tan^(-1)alpha-3x^(2),0 l...

If `f(x)={{:(,5 tan^(-1)alpha-3x^(2),0 lt x lt 1),(,5x-3,x ge 1):}` then find the least integer value of `alpha` for which f(x) has minima at x=1.

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