How to Calculate Gradient?

Identify the function (f(x, y)) or (f(x_1, x_2, dots, x_n))

Compute the partial derivative with respect to each variable

Form the gradient as the vector of partial derivatives

Write (nabla f = left(frac{partial f}{partial x}, frac{partial f}{partial y}right)) for two variables

Write (nabla f = left(frac{partial f}{partial x_1}, frac{partial f}{partial x_2}, dots, frac{partial f}{partial x_n}right)) for (n) variables

Evaluate the partial derivatives at the required point if a specific point is given

Simplify the resulting vector

Use the gradient direction as the direction of steepest increase

Use the gradient magnitude as the rate of steepest increase

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