1.df/dx=2xy^3 df/dy=3x^2y2 df/dz=4z^3 dx/ds=2s dy/ds=t^2 dz/ds=2st df/ds=7s^6t^6+8s^7t^4 3.df/ds=6rs^2 df/dr=2s^3+4r^3 5.dg/du=-10sin(10u-20v) dg/dv=20sin(10u-20v) 7.dF/dy=xe^(x^2+xy) 15.dg/du=2cos(2) 17.26.8ft/s 23.F_x=x^2+y F_y=2yz+x F_z=2xz+y^2 dz/dy=2y+x/(2xz+y^2) dz/dx==z^2+y/(2xz+y^2) 27.dz/dx=-(2xy+z^2)/(2xz+y^2) 29.dx/dy=-xe^(xy)+1/(xcos(xz)) 31.dw/dy at(1,1,1) =-(1)(1+1)^2/(1(4)+4) =-1/2 1.Saddle pt - (0,0) loc mins - (2sqrt(2),sqrt(2)), (-2sqrt(2),sqrt(2)) abs min - (-4) 3.saddle pt - (0,0) local min - (13/64,-13/32), (-1/4,1/2) 5.saddle pts - (0,0),(0,-1),(1,0) loc min - (1/3,-1/3) 7.loc min (-2/3,1/3) 11.saddle pt (0,+-sqrt(2)) loc min (-1,1) loc max (2/3,0) 13.saddle pt (0,0) loc min - (+-1, +-1) 19.loc max - (1,.5) 21.saddle pt - (2/3,-.5) 23.loc min - (-1/6, -17/18) 29.glob max - 2 glob min - none 35.max - 1/3