Derivatives of Constant Functions

Example:
z = 5

To take the derivative of this function we notice that it is a constant, because it doesn't change as the independent variable changes (z = 5 no matter what the variable is).

The Derivative of a Constant Function:

The derivative of any constant function is zero.
If
  z = c
then the derivative of z is
  z ' = 0

So our example,

z = 5
Must have as its derivative
z ' = 0
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©2001 Gavin LaRose, University of Michigan Math Dept.