MAT133Y1 Study Guide - Final Guide: Product Rule, Marginal Revenue, Lagrange Multiplier
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MAT133Y1 Full Course Notes
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)t 1 (1 + )[ 1. Pv annuities (t=0) r = effective period rate. , = 66 , ee , (6e , )a. 6 , = 0 e , = 0. A function f is continuous at a if the following 3 conditions are met: Critical value: if either f(a) = 0 or f"(a) doesn"t exist. If f""(a) < 0, then f has a relative maximum at a. If f""(a) > 0, then f has a relative minimum at a. Concave up: if f" is increasing on (a,b) f""(x) > 0. Concave down: if f" is decreasing on (a,b) f""(x) < 0. Vertical asymptote: x=a (power of numerator < denominator) (if lim. Horizontal asymptote: y=b (power of numerator = denominator) (if lim. = 2 + 1 + (power of numerator = denominator + 1) Marginal cost c= total cost c = avg. c = i q= units. {i (revenue for 1 more unit of labour)
