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.
This is one of the rules of Differentiation.
Bibliography
“Product Rule.” 2022. Wikipedia, November. https://en.wikipedia.org/w/index.php?title=Product_rule&oldid=1119757448.