A College Algebra
A College Algebra
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In our eReader you can find the full English version of the book. Read A College Algebra 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 College Algebra
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211 Multiplying both members of (C) by M> we obtain 10g^+l)=log 2 + 2^(^ + ^ T7 + ^ T? +.. -) ) which is a formula for computing common logarithms. Multiplying both numbers of (C) by tn, we obtain a general formula for computing logarithms to any base a.
323. An Exponential Function is one in which the variable enters the exponent, as a x i f x y a 6 + cx .
324. To find the derivative of a*.
Let y — a z j then log, j = slog, a. (i) Hence — *? = \ou; t . A • D x z, y or JD X y = D x (a z ) = a 2... \og, a • D x z.
That is, the derivative of an exponential function with a constant base is equal to the function itself into the Napierian logarithm of the base into the derivative of the exponent, 325. To develop a x, or deduce the Exponential Series.
Here /(*) = «*, . -. /(0) = i ; fix) = a* log, *, . -. /'(0) - log, *; f\x) = a* (log, *) 2, . -. F"(0) = (log, *) 2 ; /'"(*) = a* (log, *) 3, . •. /"((>) = (log, a) 3 ; 212 ALGEBRA.
Substituting these values in Maclaurin's formula, we have a* = i + (log, a) x + (log, a) 2 £ + (log, aff + .
What to read after A College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James M James Morford Taylor to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
211 Multiplying both members of (C) by M> we obtain 10g^+l)=log 2 + 2^(^ + ^ T7 + ^ T? +.. -) ) which is a formula for computing common logarithms. Multiplying both numbers of (C) by tn, we obtain a general formula for computing logarithms to any base a.
323. An Exponential Function is one in which the variable enters the exponent, as a x i f x y a 6 + cx .
324. To find the derivative of a*.
Let y — a z j then log, j = slog, a. (i) Hence — *? = \ou; t . A • D x z, y or JD X y = D x (a z ) = a 2... \og, a • D x z.
That is, the derivative of an exponential function with a constant base is equal to the function itself into the Napierian logarithm of the base into the derivative of the exponent, 325. To develop a x, or deduce the Exponential Series.
Here /(*) = «*, . -. /(0) = i ; fix) = a* log, *, . -. /'(0) - log, *; f\x) = a* (log, *) 2, . -. F"(0) = (log, *) 2 ; /'"(*) = a* (log, *) 3, . •. /"((>) = (log, a) 3 ; 212 ALGEBRA.
Substituting these values in Maclaurin's formula, we have a* = i + (log, a) x + (log, a) 2 £ + (log, aff + .
What to read after A College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James M James Morford Taylor to read onlineMoreLess
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