MATH 1007 Study Guide - Quiz Guide: Quotient Rule, Power Rule, Product Rule
18 Jan 2015
School
Department
Course
Professor
Document Summary
Math1007-review: functions, de nition of function, polynomials, rational functions, power functions, exponential functions, logarith- mic functions, inverse functions, trigonometric functions, odd-even functions, continuity, vertical asymptotes, limits, basic rules, l"hospital"s rule ( 0, horizontal asymptotes. 0 or : di erentiation, de nition, power rule, product rule, quotient rule, chain rule, derivative of exponential and logarithmic functions, derivative of trig functions, derivative of inverse functions, implicit di erentiation, logarithmic di erentiation, applications. Local linear approximation (tangent line approximation) of f (x) at x0: f (x) f (x0) + f(cid:48)(x0)(x x0). Critical numbers: the solutions of f(cid:48)(x) = 0 or where f(cid:48)(x) unde ned. Curve sketching (domain, intercepts,: integration, antiderivative inde nite integral, fundamental theorem of calculus, basic properties, substitution. Trigonometric integrations sinm x cosn x dx. U = sin x (if m is odd), or u = cos x (if n is odd) Basic identity: sin2 x + cos2 x = 1. Double (half) angle-formula: cos2 x = 1+cos(2x)
