In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist. This is a part of the linearity of differentiation. The sum rule in integration follows from it. The rule itself is a direct consequence of differentiation from first principles.
The sum rule tells us that for two functions u and v:
This rule also applies to subtraction and to additions and subtractions of more than two functions
Read more about Sum Rule In Differentiation: Proof, Generalization To Sums
Famous quotes containing the words sum and/or rule:
“Society does not consist of individuals but expresses the sum of interrelations, the relations within which these individuals stand.”
—Karl Marx (1818–1883)
“There were some schools, so called [in my youth]; but no qualification was ever required of a teacher, beyond “readin, writin, and cipherin,” to the Rule of Three. If a straggler supposed to understand latin, happened to sojourn in the neighborhood, he was looked upon as a wizzard. There was absolutely nothing to excite ambition for education.”
—Abraham Lincoln (1809–1865)