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Newton's method can be applied to optimization by finding the roots of the function's derivative. Since the slope or derivative of a function is equal to zero at its maximum or minimum, locating these zeros identifies the optimum points.

Conditions: The function has a maximum or minimum at the point being considered.; The derivative exists at that point.

Newton's method can be applied to optimization by finding the roots of the function's derivative. Since the slope or derivative of a function is equal to zero at its maximum or minimum, locating these zeros identifies the optimum points.

Conditions: The function has a maximum or minimum at the point being considered.; The derivative exists at that point.