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" Hence it appears, that whether the root be a simple or a compound quantity, the fluxion of any power of it is found by the following general Rule : Multiply by the index, diminish the index by unity, and multiply by the fluxion of the root. Thus the fluxion... "
The Principles of Fluxions: Designed for the Use of Students in the University - Page 7
by Samuel Vince - 1812 - 256 pages
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The Mathematical Correspondent: Containing New Eludications ..., Volume 1

George Baron - Mathematics - 1804 - 274 pages
...discovered " rity would certainly thank us, were we to list of their names. Continued from page 138. f 13. Hence it appears, that whether the root be a simple...Multiply by the index, diminish the index by unity, and the fluxion of the root. Examples. Ex. 1. The fluxion of*9 is • Ex. 2. The fluxion »f 3ys is 15/y....
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The Mathematical Correspondent: Containing, New Elucidations, Discoveries ...

George Baron - Mathematics - 1804 - 318 pages
...certainly thank us, were we to publish a list of their names. ARTICLE XVIII. Continued from page 138. •f 13. Hence it appears, that whether the root be a simple...following RULE: Multiply by the index, diminish the index fy unity and by thejluxion of the root. T Examples. Ex. 1. The fluxion of*9 is Ex. 2. Th« fluxion...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 3

William Nicholson - Natural history - 1809 - 700 pages
...multiplied by 5, (rives 15 x2 x. And, in the very same manner, the fluxion of a x" will be na x"*~l x. Hence it appears, that whether the root be a simple or a compound quantity, the fluxion of any power of it is found by the following general Rule : Multiply by the index, diminish the index by unity,...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 3

William Nicholson - 1809 - 752 pages
...multiplied by 5, gives 15 x2 x. And, in the very same manner, the fluxion of a x" will be nax*~' x. Hence it appears, that whether the root be a simple or a compound quantity, Uie fluxion of any power of it is found by the following general Rule : Multiply by the index, diminish...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 5

William Nicholson - Natural history - 1819 - 408 pages
...by 5, gives IS .r' a'-. And, in the very same manner, the fluxion of a x" will be na or n— 1 i-. Hence it appears, that whether the root be a simple or a compound quantity, the fluxion of any po'-ver of it is found by the following' general Rule : Multiply by the index, diminish the index by...
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