[PHY 121] - Midterm Exam Guide - Comprehensive Notes for the exam (12 pages long!)
5 Oct 2016
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Df(t)/dt = slope of tangent on f(t) gives rate of change of f(t) lim t -> 0 f/ t. D(a * f(t))/dt = a * df(t)/dt a = integer. Chain rule multiply derivatives of inner and outer functions. D(tn)/dt = n * tn-1 (n = integer) D(et)/dt = et a, b = constants f(t) = a + b * t2. = 0 + 2 * b * t. = 2bt f(t) = a * sin(b * t) = a * cos(b * t) * (d(b * t)/dt) = a * cos(b * t) * b. Mass: kilogram [ kg ] = 1000 [ g ] Range = [x - x, x + x] Objects move on a straight line i. e. car on level road, ball in free fall, ball rolling down incline average speed = distance moved/elapsed time. Velocity average velocity = change in position/elapsed time. If someone walked a distance d1 then back d2, average velocity < average speed.
