Changes

:<math>\frac{f(x) - f(a)}{(x - a)}</math>

:<math>\frac{f(x) - f(a)}{(x - a)}</math>

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

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

There is also the more rigorous <math>\epsilon-\delta</math> definition: a function f is said to be differntiable at point ''a'' if ∀<math>\epsilon>0</math> ∃​<math>\delta>0</math> such that if

There is also the more rigorous <math>\epsilon-\delta</math> definition: a function f is said to be differntiable at point ''a'' if ∀<math>\epsilon>0</math> ∃​<math>\delta>0</math> such that if

[[category:calculus]]

[[Category:Calculus]]