MATH 2B Study Guide - Midterm Guide: Quotient Rule, Product Rule, Antiderivative

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: All

Document Summary

5. 4 - indefinite integrals and the net change theorem. , then the most general antiderivative of f. Find the most general antiderivative of : a) in (x) 1: b) x, c) xn os (x) Table of antiderivatives f (x) xn k ex bx os (x) c in (x) s sec2 x x cos2 l f (x) n |x| + c xk + c ex+ c bx. + c ec xtan x s sc xcot x c. In which f (x) is a function and. Derivative rules (f(x) g(x)) = f (x) g (x: addition and subtraction rule (cf(x)) = c f (x) + f (x)g (x) f(x) g(x) (f(x)g(x)) = f : constant rule (x)g(x, product rule g(x)f (x) f(x)g (x, quotient rule (g(x))2 (f(g(x))) = f (g(x))g (x, chain rule. Find all o o o g g g g x. + x2 2 1 2 such that (x) (x) (x) g (x) cos (x)