A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ...
A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ...
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In our eReader you can find the full English version of the book. Read A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ... Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ...
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To quickly assess the difficulty of the text, read a short excerpt:
: i/x dy dx This may also be expressed : If J!{x) = ,f>\_/(X)-], then ^'(*) = «^'C/(*)]/(*> It must be carefully noted that 0' [/(■*)] means the derivative of ^[/(■^)]» ^^^ with respect to x, but with respect to/(jc). It is — not _, or agam it is -j^ not -L^— i.
In words, the derivative wi/h respect /o x of & function of a function of x, is the derivative of the former function with respect to the latter, multiplied by the derivative of the latter with respect to x.
Thus, if >/ = (i + jr2)», -^... maybe found by denoting (i + jt^) by w, and then finding -^ from ^ = w", and — from w=.\-\-x\ Whence But the use of w is quite unnecessary, and the student should learn to dispense with it as well as with y also. The required derivative then becomes-^ — ; — i^ • -^—^ ^ = 3(1 + jc^)«2jr.
Employing the notation of differentials, the process is even more easily remembered and applied. The differential of *[/(^)] is ^*C/(^)] or
What to read after A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ...?
You can find similar books in the "Read Also" column, or choose other free books by Irving Fisher to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
: i/x dy dx This may also be expressed : If J!{x) = ,f>\_/(X)-], then ^'(*) = «^'C/(*)]/(*> It must be carefully noted that 0' [/(■*)] means the derivative of ^[/(■^)]» ^^^ with respect to x, but with respect to/(jc). It is — not _, or agam it is -j^ not -L^— i.
In words, the derivative wi/h respect /o x of & function of a function of x, is the derivative of the former function with respect to the latter, multiplied by the derivative of the latter with respect to x.
Thus, if >/ = (i + jr2)», -^... maybe found by denoting (i + jt^) by w, and then finding -^ from ^ = w", and — from w=.\-\-x\ Whence But the use of w is quite unnecessary, and the student should learn to dispense with it as well as with y also. The required derivative then becomes-^ — ; — i^ • -^—^ ^ = 3(1 + jc^)«2jr.
Employing the notation of differentials, the process is even more easily remembered and applied. The differential of *[/(^)] is ^*C/(^)] or
What to read after A Brief Introduction to the Infinitesimal Calculus: Designed Especially to Aid in Reading ...?
You can find similar books in the "Read Also" column, or choose other free books by Irving Fisher to read onlineMoreLess
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