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Constant Rule

Definition

The constant rule states that the derivative of a constant term (a number) is always zero. In other words, when you take the derivative of a constant, it disappears.

Analogy

Think of a conveyor belt carrying boxes. If all the boxes are identical and have no distinguishing features, you won't be able to tell them apart because they're all constant. Similarly, when taking the derivative of a constant term, it becomes indistinguishable and disappears.

Related terms

Power Rule: The power rule allows us to find derivatives for functions involving powers (exponents).

Chain Rule: The chain rule helps us find derivatives when we have compositions of functions.

Product Rule: The product rule allows us to find derivatives for products of two functions.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.