Cheatography

# calculus exam 2 Cheat Sheet (DRAFT) by chloeschmidt

MATH 1060 exam 2: sections 3.4-3.11, 4.1-4.4 Product and Quotient Rules, Trig limits and derivatives, IROC, Chain Rule, Implicit Differentiation, Deriv. of Logs, Exponentials, and Logarithmic Differentiation, Inverse Derivative, Inverse Trig, Related rates with trig functions, Basic max/min, f' undefined, RT, MVT, f', f'' graphs, graphing rational functions

This is a draft cheat sheet. It is a work in progress and is not finished yet.

### Basic Proper­tie­s/F­orm­ula­s/R­ules

 (fg)' = f' g + f g' (f/g)' = (f' g - f g') / (g2) d/dx(f­(g(x))) = f'(g(x­))g'(x) d/dx(eg(x)) = g'(x)eg(x) d/dx(l­ng(x)) = g'(x)/g(x) d/dx(xn) = nxn-1 d/dx(c) = 0, c is any constant bx = exlnb

### Common Deriva­tives

 Polyno­mials d/dx(c) = 0 d/dx(x) = 1 d/dx(cx) = c d/dx(xn) = nxn-1 d/dx(cxn) = ncxn-1 Trig Functions d/dx(sinx) = cosx d/dx(cosx) = -sinx d/dx(tanx) = sec2x d/dx(secx) = secxtanx d/dx(cscx) = -cscxcotx d/dx(cotx) = -csc2x Inverse Trig Functions d/dx(sin-1x) = 1/√1-x2 d/dx(cos-1x) = -1/√1-x2 d/dx(tan-1x) = 1/1+x2 d/dx(sec-1x) = 1/|x|√x2-1 d/dx(csc-1x) = -1/|x|√x2-1 d/dx(cot-1x) = -1/1+x2