Gradient descent algorithm

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I'm trying to understand how the Gradient Descent Algorithm works. There is a formula that I found on Wikipedia and that I can not justify:

https://www.wikiwand.com/en/Gradient_descent#/Solution_of_a_non-linear_system

It is the formula that gives the Gradient of F in the paragraph Solution Of A non-Linear System that I don't understand.

formula

Thank you in advance for your help!