The derivative of a function f (x) is defined by ' o x = 11m f ( ) hrO Now consider the function f (x) = 2 6 . By definition of the derivative, x + we have: r o x = 11m f ( ) fir>0 This limit is of type: (No answer given) We perform algebraic manipulations to evaluate the limit, and obtain that the derivative f ' (x) is: f '(x) =