I was given that problem for homework as well and I was able to do that one. I have an idea on how to do the quotient rule one, but no idea for the second question.
Homework Statement
Show that the operation of taking the gradient of a function has the given property. Assume that u and v are differentiable functions of x and y and that a, b are constants.
Homework Equations
Δ = gradient vector
1) Δ(u/v) = vΔu - uΔv / v^2
2) Δu^n = nu^(n-1)Δu...