Changes

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:

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>

:<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''.

approaches a [[limit]]ing value that we call the [[derivative]] of the function f(x) at ''x=a''.

 

[[category:calculus]]

[[category:calculus]]