Abstract
Let I denote an interval. We next pick out from 𝒞(I) a subset 𝓓(I) consisting of the ‘differentiable’ functions, which we will define after some preliminary remarks. Let us first recall the elementary notion of the tangent to a curve. Let c ∈ I, and let P, Q be the points on the graph of f: I → ℝ with co-ordinates (c, f(c)), (x, f(x)) respectively.
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© 1970 H. B. Griffiths and P. J. Hilton
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Griffiths, H.B., Hilton, P.J. (1970). Differentiable Functions. In: A Comprehensive Textbook of Classical Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6321-0_29
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DOI: https://doi.org/10.1007/978-1-4612-6321-0_29
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90342-2
Online ISBN: 978-1-4612-6321-0
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