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:
“We didn’t come to dig in Egypt for medals. Much more is learned from studying bits of broken pottery than from all the sensational finds. Our job is to increase the sum of human knowledge of the past, not to satisfy our own curiosity.”
—John L. Balderston (1899–1954)
“Until, accustomed to disappointments, you can let yourself rule and be ruled by these strings or emanations that connect everything together, you haven’t fully exorcised the demon of doubt that sets you in motion like a rocking horse that cannot stop rocking.”
—John Ashbery (b. 1927)