Chapter 2 - Limits and Continuity Given the graph of f(x), find each of the following. lim(x2^- )f(x) lim(x2^+ )f(x) lim(x2)f(x) f(2) Given the graph of g(x), find each of the following. lim(x-2^- )g(x) lim(x-2^+ )g(x) lim(x-2)g(x) g(-2) Find each of the following limits or state that they don't exist. Use and - when appropriate. lim(x4)x^2-3x+2 lim(x)x^2-3x+2 lim(x0)(x-12)/(x^2-12x) lim(x12)(x-12)/(x^2-12x) lim(x0)((x+3)^2 )/(x^2-9) lim(x-3)((x+3)^2 )/(x^2-9) lim(x3)((x+3)^2 )/(x^2-9) lim(x-)-(2x^2-10 )/(x-10)^2 lim(x)-(2x^2-10 )/(x-10)^2 lim(x9)(x^2-2x-63 )/(x-9) lim(x-)(x^2-2x-63 )/(x-9) Determine the interval(s) on which each function is continuous. f(x)=8x-4 f(x)=8x/(x^2+4) f(x)=3x/(x-2) Chapters 3 & 4 - Differentiation Find y' if y=4x^3-3x^2+2x-1. Find f'(x) if f(x)=5e^x+4x-lnx. Find y' if y=5/(4x^2 ). Find G'(w) if G(w)=7w. Find f'(x) if f(x)=(0.7x+4)(0.2x-8). Find dy/dx if y=(2x+3)/(6x^5 ). Find the derivative of f with respect to x of f(x)=lnx^6 . Find y' if y=-8t^(1/2)+4(t^2 ) . Find f'(x) if f(x)=3x^2 (5x^2-9x+12). Find y' if y=(12x^3+7)/(x-3). Find f'(x) if f(x)=3e^7x. Find dy/dx if y=(x^4-3)^6 Find f'(x) if f(x)=ln6x^2 Use implicit differentiation to find dy/dx in terms of x and y and then evaluate dy/dx at the point (1, 2). y=4x^2-3y^2 For each price-demand equation below, find E(p), the elasticity of demand. x=f(p)=7000-5p^2 x=f(p)=99-0.2e^p Find the open intervals where