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Use derivatives to improve the smoothness of the approximation:
HistoryIntroduced in 1996 (3.0)
Wolfram Research (1996), FunctionInterpolation, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionInterpolation.html. TextWolfram Research (1996), FunctionInterpolation, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionInterpolation.html.
CMSWolfram Language. 1996. "FunctionInterpolation." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FunctionInterpolation.html.
APAWolfram Language. (1996). FunctionInterpolation. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FunctionInterpolation.html
BibTeX@misc{reference.wolfram_2025_functioninterpolation, author="Wolfram Research", title="{FunctionInterpolation}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/FunctionInterpolation.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_functioninterpolation, organization={Wolfram Research}, title={FunctionInterpolation}, year={1996}, url={https://reference.wolfram.com/language/ref/FunctionInterpolation.html}, note=[Accessed: 12-July-2025 ]}
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