Here you will find a fairly detailed description of the vector geometry of Svg curves.
If you want to calculate individual points or the first or second derivative of an Svg curve for a specific parameter value, you have come to the right place. Or if you want to calculate the circle of curvature for a specific curve point.
Here you will first find a few general formulas for 2d and 3d curves, and then the corresponding parameters for the various Svg curves.