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given f(x)=x^2*e^(2(x-1)) for 0<=x<=1 an...

given `f(x)=x^2*e^(2(x-1))` for `0<=x<=1` and `f(x)=a*sgn(x+1)*cos(2x-2)+bx^2` for `1 < x<=2 , f(x)` is differentiable at `x=1` provided

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