Let f(x) =e^(x-1)-ax^(2)+b and g(x)={{:(...

Let `f(x) =e^(x-1)-ax^(2)+b` and `g(x)={{:(e^(x-1),xle1),(x^(2)+1,xgt1):},` then find the values of `a` and `b` such that `f(x) xx g(x)` is differentiable at `x=1`.

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