MA 141 Study Guide - Final Guide: Antiderivative, Minute And Second Of Arc, Glossary Of Video Game Terms
Document Summary
Recall that y represents change in y as x varies from some value c to c + x. Theorem: if f is di erentiable at c, then y = f (c + x) f (c) satis es. Y = (f (c) + ) x = f (c) x + x where the function has the property that lim. Note that the rst statement is some function multiplied by x and the second is the evaluation of at the input value x. We call f (c) x the principal part of y and x the error part of y. X is the error in using f (c) x to approximate y. Ex: let f (x) = x2 with f (x) = 2x. Since f is di erentiable for all real numbers, we may nd y for any x = c value. Y = f (x + x) f (x) = x2 + 2x x + ( x)2 x2.
