Differentiable function
This is an old revision of this page, as edited by Aschlafly (talk | contribs) at 16:13, December 25, 2007. It may differ significantly from current revision.
A function f(x) is differentiable at the point a if and only if, as x approaches a (which it is never allowed to reach), the value of the quotient:
- <math>\frac{f(x) - f(a)}{(x - a)}</math>
approaches a limiting value that we call the derivative of the function f(x) at x=a.