10.2 Plot[Piecewise[{{3x, x<1}, {0, 1.1>x>=1}, {3, 3>=x>=1.1}, {1, x>3}}],{x,0,5}] 10.3 a) plot |x-3|/(x-3) b) plot sqrt(x/(x-2)) d) Plot[Piecewise[{{x^3, x<2}, {6, 2.1>x>=2}, {4x, x>=2.1}}],{x,0,4}] e) Plot[Piecewise[{{sin(6x)/(2x), x<-0.1}, {3, 0.1>x>=-0.1}, {sin(6x)/(2x), x>0.1}}],{x,-2,2},{y,-3.5,3.5}] 10.4 a) Plot[Piecewise[{{7x-2, x<=1}, {5x^2, x>1}}],{x,0,2}] b) Plot[Piecewise[{{4/3*x^2, x<2}, {2*x+4/3, x>2}}],{x,0,4}] c) Plot[Piecewise[{{3+(-1)*x^2, x<1}, {x+1, x>1}}],{x,0,2}] d) Plot[Piecewise[{{x-2, x<1}, {cos(pi*x), x>1}}],{x,-1,3}] 10.6 b) d(2x^2-5)/dx 10.7 e) differentiate log_2|x|+sin(x) f) differentiate 1/(2x)-3*arccos x i) derivative 3*pi^2+6*x^(4/3) 10.8 b) differentiate x^(a)*b^x e) ((sin u) / u - ln u * cos u)' g) differentiate (e^x*a^x)/(1+ln(a)) h) differentiate (x*tan(a))/(1+x^2)+x*ln(x) i) differentiate arccos x * arcsin x 10.10 a) differentiate 15*t^3*e^t 15 e^t t^2 (t + 3) where t = 1 10.14 a) differentiate (4x-3)^5 + (-3x)^2 10.15 b) differentiate sqrt((2x+1)/(4x+1)) c) differentiate (ln(4x-3))^3 d) differentiate cos(-9x+2) + (sin(4x^5))^3 g) differentiate ln(tan(2x))+ln(cot(2x)) j) differentiate arccos x * ln(arctan x) 10.17 d(k*sqrt(x/m+a/x))/dx 10.20 b) D[sin(x),{x,13}] 10.23 b) d^2(q*e^(q^2))/dq^2 c) d^3(t/(2+3t))/dt^3 - d^2(2/(2+3t)^2)/dt^2 10.24 a) differentiate x^x b) differentiate x^sin(x) d) differentiate x^3*e^(x^2)*sin(2x)