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)