3.1 Derivatives. Derivative. A derivative of a function is the instantaneous rate of change of the function at any point in its domain. We say this is the derivative of f with respect to the variable x . If this limit exists, then the function is differentiable .
(Multiply by the conjugate)
The function f(x)has the following graph:
What does the graph of y’ look like?
Remember: y’ is the slope of y.