Discontinuity Piecewise Functions - Calculus

[@pratibhaxiia9524]

Why in second question ...... We have not included 0 ..... because by further simplifying the g(x) we didn't got undefined by putting x=0

[@vinteachesmath]

0 was excluded because the function was not differentiable at 0 so we cannot include 0 in the domain of the derivative.