Determine whether the following statements are true and give an explanation or counterexample a The derivative of log 2 9 1 (9 ln 2) b ln (x 1) ln (x 1) ln (x 2 1), for all x c The exponential function 2 x 1 can be written in base e as e 2 ln (x 1) d d dx (2 x ) x2 x 1 e d dx (x 2 ) 2 x 2 1 ...

a False log 2 9 is a constant so its derivative is 0 b ...

Determine whether the following statements are true and give an explanation or counterexample. a. The derivative of

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Determine whether the following statements are true and give an explanation or counterexample.

a. The derivative of log₂ 9 = 1/(9 ln 2).

b. ln (x + 1) + ln (x - 1) = ln (x² - 1), for all x.

c. The exponential function 2^{x + 1} can be written in base e as e^{2 ln (x + 1)}.

d. d/dx (√2^x) = x√2^{x - 1}.

e. d/dx (x^√2) = √2 x^{√2 - 1}.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 13, 2019 10:37 AM

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Determine whether the following statements are true and give an explanation or counterexample. a. The derivative of

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Calculus Early Transcendentals

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