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The gradient ∇u is the vector whose components are the first partial derivatives of u. For a function of two variables, ∇$u = (u_x, u_y)$, where $u_x$ is the partial derivative with respect to x and $u_y$ is the partial derivative with respect to y.

Conditions: u is a scalar function of two variables x and y.; u has partial derivatives with respect to x and y.

The gradient ∇u is the vector whose components are the first partial derivatives of u. For a function of two variables, ∇$u = (u_x, u_y)$, where $u_x$ is the partial derivative with respect to x and $u_y$ is the partial derivative with respect to y.

Conditions: u is a scalar function of two variables x and y.; u has partial derivatives with respect to x and y.