Product rule

In calculus [Calculus], the product rule (or neibniz [Gottfried Leibniz] rule or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions. For two functions, it may be stated in Lagrange’s notation [Lagrange’s notation] as

\((u\cdot v)’=u’\cdot v+u\cdot v’\)

or in Leibniz’s notation [Leibniz’s notation] as

\(\frac {d}{dx}}(u\cdot v)={\frac {du}{dx}}\cdot v+u\cdot {\frac {dv}{dx}}\).

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

(“Product Rule” 2022)

This is one of the rules of Differentiation.

Bibliography

References

Backlinks

• Silvanus Thompson | Calculus Made Easy