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What is the linear approximation formula?

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Quick Answer

The linear approximation formula is f(x) is approximately equal to f(x0) + f'(x0) x (x - x0), where f'(x) denotes the derivative of f(x). The linear approximation formula is based on the affine function and is used in math to approximate the difference between two vector functions.

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Full Answer

The linear approximation formula results in an overestimation if the interval between x and x0 is concave downwards, whereas the formula results in an underestimation if that area is concave upwards. The formula is based upon a concept in calculus known as Taylor's theorem, which is used to find the function for a given point for a polynomial function.

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