Definition of smooth curve: A parametric curve Z(t)=x(t)+i>y(t) on [a,b] is called smooth if
Z′(t)=x′(t)+iy′(t) exists and continuous on [a,b].
Z′(t) is non zero on (a,b).
But my problem is that why is the word "continuous" written? As We know that differentiability implies continuity.
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