Given values of a function y=y(x) y=[...] at points x=[...] we can
generate an interpolating polynomial p(x). This package provides two
functions: interpolateAt and
interpolateDerivativeAt. interpolateAt[x,y,x0] gives the value of
the interpolating polynomial p at the point
x0. interpolateDerivativeAt[x,y,x0] evaluates p' at the point x0. For example
julia> interpolateAt([0,1,2],[0,1,4],1)
1.0
julia> interpolateDerivativeAt([0,1,2],[0,1,4],1)
2.0