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Computing the partial derivatives of an element of the coordinate ring of a chart in a recursive fashion skipping zero derivatives.

a pair (f,b) where f is an element of the coordinate ring of some underlying chart and b is a nonnegative integer,
differentiating parameter indicator (in the subtree of recursive calls only partial derivatives with respect to parameters with index greater than or equal to t are used), in the initial call it should be 1.
The procedure uses the global variables: desingSingS, desingSingIND, desingSingPDER, which store the data of the chart for F. The partial derivatives of f up to order b-1 will be generated in the global variable desingSingSL.
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