## Calculus: Early Transcendentals 8th Edition

$1, \lt 0,1 \gt$
Formula to calculate the maximum rate of change of $f$: $D_uf=|\nabla f(x,y)|$ $\nabla f(x,y)=\lt y \cos xy,x\cos xy \gt$ $\nabla f(1,0)=\lt 0,\cos (0) \gt=\lt 0,1 \gt$ $|\nabla f(0,1)|=\sqrt{0^2+ 1^2}=1$ Hence, the required answers are: $1, \lt 0,1 \gt$