Determine whether the following statements are true and give an explanation or counterexample. a. d/dx(10) 5 =

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

a. d/dx(10)5 = 5 •104.

b. The slope of a line tangent to f(x) = ex is never 0.

c. d/dx (e3) = e3.

d. d/dx (ex) = xex - 1.

e. dn/dxn (5x3 + 2x + 5) = 0, for any integer n ≥ 3.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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