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Gradient of xn, When N is a Positive Integer: Extension to Cases of N Negative or Fractional

Published online by Cambridge University Press:  03 November 2016

S. Read
S. Read*
Affiliation:
Mathematical Institute, 20 Chambers Street, Edinburgh
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Extract

Let (α, β) and (X, Y) be two pairs of values satisfying y = xn, where n is a positive integer and where we may at present regard α and β as constant.

We have

where the last bracket contains exactly n terms.

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 368 , May 1965 , pp. 153 - 154
Copyright
Copyright © Mathematical Association 1965

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