Determine whether the statement is true or false. If it is true, explain why. If it is

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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If f has a local minimum at (a, b) and f is differentiable at (a, b), then ∇f (a, b) = 0.

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