Question: If a differentiable functional f is increasing, then f(x) 0 for every x X; that is, every partial derivative Dxi f[x] is nonnegative.

If a differentiable functional f is increasing, then ∇f(x) ≥ 0 for every x ∈ X; that is, every partial derivative Dxi f[x] is nonnegative.

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