Question: Taylor approximation with a search direction. Consider the function f(x1, X2) = 23 - 5x122 + 6x? at the point x = (0, 2) and

Taylor approximation with a search direction. Consider the function f(x1, X2)

Taylor approximation with a search direction. Consider the function f(x1, X2) = 23 - 5x122 + 6x? at the point x = (0, 2) and search direction p = (1, -1) . 1. Write down the first-order Taylor approximation to f(x + ap), where a is the step size. 2. Write down the second-order Taylor approximation to f(x + ap)

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