Abstract
THEOREM 1.1 (Mean value theorem) If g and h are continuous on the closed interval I and differentiable on the open interval and a and x are points in I, then there is a point c between a and x such that h’(c)(g(x)−g(a)) = g’(c)(h(x)−h(a)), or \( \frac{{{\text{g}}\left( {\text{x}} \right)\, - \,{\text{g}}\left( {\text{a}} \right)}}{{{\text{h}}\left( {\text{x}} \right) - {\text{h}}\left( {\text{a}} \right)}}\, = \,\frac{{{\text{g}}'\,\left( {\text{c}} \right)}}{{{\text{h}}'\left( {\text{c}} \right)}} \) if the denominators are ≠ 0.
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© 1987 Springer-Verlag New York Inc.
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Smith, K.T. (1987). Taylor Polynomials. In: Power Series from a Computational Point of View. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9581-2_1
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DOI: https://doi.org/10.1007/978-1-4613-9581-2_1
Publisher Name: Springer, New York, NY
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