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Higher-Order Derivative


A higher-order derivative is a derivative obtained by repeated differentiation. The nth derivative of a function f is denoted

 f^((n))(x)=(d^nf)/(dx^n),

with f^((1))=f^' and f^((n))=(f^((n-1)))^' for n>=2.


See also

Derivative, Leibniz Notation, Partial Derivative

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References

Apostol, T. M. Calculus, Vol. 1, 2nd ed. New York: Wiley, 1967.

Cite this as:

Weisstein, Eric W. "Higher-Order Derivative." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Higher-OrderDerivative.html

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