<ul><li>The inverse of an approximation is an approximation of the inverse, which may vary in quality depending on the situation.</li><li>When considering derivatives and inverse functions, the best linear approximation to the inverse of a function at a point is the inverse of the best linear approximation to the function.</li><li>The inverse function theorem states that for a smooth function, the best linear approximation to the inverse function at a point is the linear transformation represented by the inverse of the matrix representing the linear approximation of the function.</li><li>The theorem emphasizes the exactness of the approximations at a point, with specific conditions such as differentiability and non-singularity of the derivative.</li></ul>

Approximation of Inverse, Inverse of Approximation

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