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For interpolating parametric curves using Hermite Polynomials for each coordinate function, it is needed to add some extra conditions

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For interpolating parametric curves using Hermite Polynomials for each coordinate function, it is needed to add some extra conditions. These conditions are included by providing __________________
guide points at the end points.the first derivative at the end points equal to zero.a factor for the first derivative at the end points.second derivatives at the end points.