Formulas & tables/Mathematics/Derivatives/Derivative of a constant

Derivative of a constant

(c)′=0(c)'=0

Result unit: — (0)

What it describes

The derivative of a constant function equals zero.

Symbols

cc
constant

Where it comes from

A constant function does not change, so its rate of change (the derivative) is zero — the graph is a horizontal line with slope 0.

When to use it

Differentiating constant terms.

Example

Find the derivative of the function f(x)=7f(x)=7.
Substitutionc=7c=7.
Result(7)′=0(7)'=0.

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