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Differentiable function (view source)
Revision as of 16:13, December 25, 2007
, 16:13, December 25, 2007New page: 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 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''.
[[category:mathematics]]
[[category:calculus]]
:<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''.
[[category:mathematics]]
[[category:calculus]]