Rules of Differentiation: The Sum/Difference Rule

Erin Horst

Now that we have explored derivatives, we can now progress to the rules of differentiation. These rules are simply formulas that instruct the learner how to compute derivatives depending on a given function.

A useful rule of differentiation is the sum/difference rule. The rule is

This rule simply tells us that the derivative of the sum/difference of functions is the sum/difference of the derivatives. Consider the following graphs and respective functions as examples.

The following graph illustrates the function and its derivative .

The following graph illustrates the function and its derivative .


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