I have a list of points I want to interpolate, and I know the maximum point (derivative==0). Mathematica shows how to interpolate points when I know all derivatives. How do I intepolate knowing the derivative of only one point?
It seems that Mathematica accepts derivatives assigned in some points only:
Plot[Interpolation[{{{0}, 0}, {{0.1}, .3}, {{0.5}, .6, 2},
{{1}, -.2, -1}, {{2}, 3}}][x], {x, 0, 2}]