How to find a Bezier curve in E^3

"How to find any $n^{th}$ order B\'{e}zier curve if we know its first, second, and third derivatives?" Hence have examined the way based on control points with matrix form, while derivatives are given in $\mathbf{E}^{3}$. Further, of a cubic as an example. In this study first how Bezier known second derivatives, which inherently, $\left( n-1\right) ^{th}$ order, $\left(n-2\right) n-3\right) curves respective order. There is lot number points. choose point derivation\. chosen two special initial $P_{0}$ endpoint $P_{n}$.