MATH 1LS3 Study Guide - Midterm Guide: Integral, Inflection Point, Inflection

• School: McMaster University
• Department: Mathematics
• Course: MATH 1LS3
• Professor: Erin Clements

Document Summary

Expanding brackets (a2 - b2) = (a-b)(a+b) (a-b)2 = (a-b)(a-b) Positive inc: 3 > 2 > 1 > 0. 5. Negative dec: -3 > -2 > -1 > -0. 5. Stretch and compress y: vert scale by a factor of c x: hor scale by a factor of 1/c. X is flipped: if given c=1/3, expand by 3. 1/x2 looks like 1/x but top quadrants e-x^2 bell curves t3 27 = (t-3)(t2 + 3t + 9) ee = 0 f""(x) = 0 not necessarily an inflection point. Lim divide by highest exponent. Limit of sums = sum of limits ax = axlna. Approaches faster as x approaches ex > xx > lnx. Approaches 0 faster as x approaches e-x > x-x > lnx. Derive > evaluate f(x) & f"(x) at given x y-y(fx)=m(f"x)(x-x(fx)) If curve has 2 horizontal tangents (common with trig) Find x for which f(x) is continuous set = 0.