11.1 d) limit (x^5-1)/(x^3-1) where x to 1 e) limit ln x / sqrt(x) where x to infty f) limit x^2*e^(-x) where x to infty l) limit (x*ln x)/(x+ln x) where x to infty 11.2 c) limit x^2*ln x where x to 0 d) limit six(x)*ln(x) where x to 0 X.YZ limit x/sqrt(1+x^2) where x to infty (L'Hospital ei tööta!) 11.3 c) d(2/r^5+3*pi^2)/dr e) d(x*e^x)/dx f) d(sqrt(6u/(1+2u)))/du 11.4 b) d(0.02*(x^2+2x)^3)/dx where x = 7 c) d(y*(x^2+1)^2)/dx where x = 1 d) d(0.06*(x*sqrt(1+4x)))/dx where x = 12 f) d(pi/180*(tan x))/dx 11.8 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 11.9 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) h) d(x*sqrt((3^2-5)/(3^2+7)) -0.08*sqrt((x^2-5)/(x^2+7)))/dx where x = 3 sqrt((2.92^2-5)/(2.92^2+7)) 11.11 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