Is there a program that finds an approximation function when the points and their derivatives are known?

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I was working on an indefinite integral problem and found a case where the solution could not be represented analytically, but I wanted to graph it. That is, I know the f(0) value of a function, and I know the derivative at several points (through computer calculations). At this point, is there a program that can find the equation of a function that connects the points consecutively?