Whitman College: David Guichard's "Calculus, Chapter 3: Rules for Finding Derivatives, Section 3.2: Linearity of the Derivative"

Read Section 3.2 (pages 58 and 59). In this reading, you will see how the derivative behaves with regard to addition and subtraction of functions and with scalar multiplication. That is, you will see that the derivative is a linear operation.

Click https://s3.amazonaws.com/saylordotorg-resources/wwwresources/site/wp-content/uploads/2012/07/calculus_03_Rules_for_Finding_Derivatives.pdf link to open resource.