fsolve first-order optimality

hi, i am confused about the first-order optimality in fsolve to solve the nonlinear equations. Is it neccessary for the first-order optimality to converge to zero when using fsove to solve the nonlinear equations? I find that the first-order optimality does not converge to zero when the iteration ceased, but the f(x) converges to zero, which pushed the iteration to stop. And in my code, the first-order optimality shows the trend to converge but stop at a large value in the last step of the iteration. Thank you a lot!

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R2021a

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2021-12-19

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