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Abstract
In the paper, we have first defined the area of the B\'{e}zier polygonal region which contains the $n^{th}$ $order$ B\'{e}zier Curve and its first, second and third derivatives based on the control points of $n^{th}$ $order$ B\'{e}zier curve in E$^{3}$. Further, the area of the B\'{e}zier polygonal region containingthe $5^{th}$ $order$ B\'{e}zier curve and the corresponding derivatives is examined based on the control points of $5^{th}order$ B\'{e}zier Curve in E$^{3} $.
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