(Step-by-Step) Let f(x,y)=(x+y)/(xy) Find ∇ f Find the directional derivative of f at (1, 1), in the direction of (-1, 2). If z=(x+y)/(xy) and x=u^2v
Question: Let \(f\left( x,y \right)=\frac{x+y}{xy}\)
- Find \(\nabla f\)
- Find the directional derivative of f at (1, 1), in the direction of (-1, 2).
- If \(z=\frac{x+y}{xy}\) and \(x={{u}^{2}}v\) and \(y={{e}^{uv}}\), find \(\frac{\partial z}{\partial v}\).
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