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:
“What God abandoned, these defended,
And saved the sum of things for pay.”
—A.E. (Alfred Edward)
“Better the rule of One, whom all obey,
Than to let clamorous demagogues betray
Our freedom with the kiss of anarchy.”
—Oscar Wilde (1854–1900)