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The Differentiation of a Composite Function

Published online by Cambridge University Press:  03 November 2016

A. F. Beardon
A. F. Beardon*
Affiliation:
St. Catharine’s College, Cambridge
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Extract

In a previous issue of the Gazette J. G. Colman gives a formula for the nth derivative of the composite function f[g(x)], states that this is proved by induction and asks for a more direct and illuminating proof.

Type
Research Article
Information
The Mathematical Gazette , Volume 55 , Issue 394 , December 1971 , pp. 395 - 397
Copyright
Copyright © Mathematical Association 1971

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References

1. Apostol, T. M., Mathematical Analysis, Addison-Wesley, 1957.Google Scholar
2. Colman, J. G., The differentiation of a function of a function, Math. Gaz., LIV, KO. 390, p. 389 (1970).CrossRefGoogle Scholar
3. Kemeny, J. G., Snell, J. L. and Thompson, G. L., Introduction to finite mathematics, Prentice-Hall, 1966 (2nd edition).Google Scholar