The instantaneous rate of change of a function f (x)
at a particular point x0
. The formal definition is the following limit:
|f'(x0) = ||
A function f'(x) taking on the value of the derivative of f (x) at each number x.
For a function f
, and any two points x0
in its domain, the quotient:
A function f is differentiable at a point (x0) if it has a well-defined derivative
at that point. It is simply differentiable if it is differentiable at every point in its
A line through two distinct points on the graph of a function.
A line through a point (x, f (x)) on a graph that has slope equal to the derivative of the
function f at x. A limit of secant lines to the graph of a function as two contact
points approach one another.