MA 141 Study Guide - Final Guide: 2Channel, Classification Of Discontinuities
Document Summary
Last class, we found the formula for instantaneous velocity, which was essentially the same as the formula for slope of a tangent line that we had found in section 1. 1. These two concepts relate to the derivative of a function. Def: let the function f be de ned on the interval (a, b) and let c (a, b). The derivative of f at c is given by f (c) = lim h 0 f (c + h) f (c) h provided the limit exists. When f (c) exists, we say the function f is di erentiable at c. If f (c) exists for each c (a, b), we say f is di erentiable on (a, b). Notes: a limit does not "exist" if it is equal to (because is not a number). So the derivative does not exist if the limit is . f (x + h) f (x) h.
