The book A College Algebra was written by author James M James Morford Taylor Here you can read free online of A College Algebra book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A College Algebra a good or bad book?
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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 + .
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