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Posted on November 7, 2023November 7, 2023 by tom

linearize a quadratic function and use it to approximate the value of the function at x equals 5.8

Step-by-step guide to approximating a function value using linearization. The image shows a mathematical process for estimating the value of the quadratic function f(x) = x² - 2x + 5 at x = 5.8, starting at x = 6. The method includes calculating the derivative, evaluating it at x = 6 to find the slope, constructing the tangent line equation, and using it to find the approximate y-value at x = 5.8, leading to an estimated result of f(5.8) ≈ 27

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