The object of this paper is to give a generalisation to vector valued functions of the classical mean value theorem of differential calculus. Calculus i the mean value theorem pauls online math notes. Calculus early transcendentals an open text be a champion of oer. In most traditional textbooks this section comes before the sections containing the first and second derivative tests because many of the proofs. Consequently, we can view the mean value theorem as a slanted version of rolles theorem figure. Consequently, we can view the mean value theorem as a slanted version of rolles theorem figure 4. In this section we want to take a look at the mean value theorem. In most traditional textbooks this section comes before the sections containing the first and second derivative tests because many of the proofs in those sections need the mean value theorem. Pdf chapter 7 the mean value theorem caltech authors.
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