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 2x + 1 can be written in base e as e2 ln (x + 1).

d. d/dx (√2x) = x√2x - 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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