8.1 b) plot x^3/3 - 5x,4x-18,-1/4*x-21/4, where x from -4 to 4 d) plot 1/(x^2+1),x/2+1,-2x-3/2 where x from -2 to 2 8.2 a) plot x^2-2x,2x-4, where x from -4 to 4 c) plot (2x-1)^3, -1/24*(x+1/2)-8, -1/24*(x-3/2)+8 where x=-10..10,y=-10..10 8.3 plot 2+1/x,4-x where x=0..4,y=0..4 8.6 c) d(2/r^5+3*pi\2)/dr e) d(x*e^x)/dx f) d(sqrt(6u/(1+2u)))/du 8.7 b) d(0.02*(x^2+2x)^3)/dx where x = 7 d) d(0.06*(x*sqrt(1+4x)))/dx where x = 12 f) d(pi/180*(tan x))/dx 8.11 d(0.0012*4/3*pi*x^3)/dx where x = 3.5 4/3*pi*(3.5012)^3-4/3*pi*(3.5)^3 8.13 b) d(4x-0.07*(sqrt(x)))/dx where x = 16 sqrt(15.93) c) d(3^5*x+0.02*(x^5))/dx where x = 3 3.02^5 d) d(sin(pi/4)*x+pi/180*(sin (x)))/dx where x = pi/4 sin(46*pi/180) e) d(x+1*(ln(x)/ln(10)))/dx where x = 10 ln(11)/ln(10) 8.15 d((300/(0.0005*50^2+2)-50) * x + d*300/(0.0005x^2+2)-50)/dx where x = 50 d((300/(0.0005*50^2+2)-50) * x -5*300/(0.0005x^2+2)-50)/dx where x = 50 300/(0.0005x^2+2)-50 where x = 45