Svar Övning 7.5.2
SamverkanFlervariabelanalysLIU
a) \displaystyle \nabla f=(yz,xz,xy)
b) \displaystyle \nabla f=(\arctan (y/z), \frac{x/z}{1+(y/z)^2},\frac{-xy/z^2}{1+(y/z)^2})
c) \displaystyle \nabla f=(\frac{yz}{x}(x^y)^z,\ z\ln x (x^y)^z,\ y\ln x (x^y)^z)