Product Rule

The derivative identity


where f^'(x)=df/dx denotes the derivative of f. The Leibniz identity extends the product rule to higher-order derivatives.

See also

Chain Rule, Derivative, Exponent Laws, Leibniz Identity, Quotient Rule, Related Rates Problem

Explore with Wolfram|Alpha


Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 11, 1972.

Cite this as:

Weisstein, Eric W. "Product Rule." From MathWorld--A Wolfram Web Resource.

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