We define the first difference of a function by (x) (x 1) (x) Show that (10 x ) 9 10 x and, more generally, that (b x ) (b 1)b x ...

We define the first difference of a function by (x) = (x +

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We define the first difference δ ƒ of a function ƒ by δ ƒ(x) = ƒ(x + 1) − ƒ(x).

Show that δ(10^x) = 9 · 10^xand, more generally, that δ(b^x) = (b − 1)b^x.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Oct 24, 2023 06:07 AM

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We define the first difference of a function by (x) = (x +

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Calculus

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