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
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