MATH 1180 Study Guide - Quiz Guide: Quotient Rule, Product Rule

• School: Northeastern University
• Department: Mathematics
• Course: MATH 1180
• Professor: All

Document Summary

Quiz 2: a colony of giant bacteria is cultured for a period of time, but eventually dies out, for lack of su cient nutrients. Mth 1108: compute: (a) z x3(x4 + 7)5 dx = (b) z. 3 ln x x (c) z dx = (d) z esin(2x) cos(2x) dx = Spring 1999 (6) (a) sketch the area represented by the integral z 3. 1 x dx. (b) use a left-approximating sum pn 1 this integral. i=0 f (xi) x with n = 4 rectangles to approximate. Table of derivatives (f g) = f g + f g (product rule) g . F f g f g g2 (quotient rule) f (g(x)) = f (g(x)) g (x) (chain rule) (xn) = nxn 1 (ex) = ex. 1 x (ln x) = (sin x) = cos x (cos x) = sin x (arctan x) = Table of antiderivatives (n 6= 1) (a 6= 0) cos(ax) + c (a 6= 0)