Find the gradient (gradient vector) of the function f(x,y)=x2y+exyf(x, y) = x^2 y + e^{xy}f(x,y)=x2y+exy at the point (1,0)(1, 0)(1,0).
∇f(1,0)=⟨1,2⟩\nabla f(1, 0) = \langle 1, 2 \rangle∇f(1,0)=⟨1,2⟩
∇f(1,0)=⟨0,2⟩\nabla f(1, 0) = \langle 0, 2 \rangle∇f(1,0)=⟨0,2⟩
∇f(1,0)=⟨1,1⟩\nabla f(1, 0) = \langle 1, 1 \rangle∇f(1,0)=⟨1,1⟩
∇f(1,0)=⟨0,1⟩\nabla f(1, 0) = \langle 0, 1 \rangle∇f(1,0)=⟨0,1⟩