Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.3 Rules of Differentiation - 3.3 Exercises: 46

Answer

$f'(x)=6x+5e^{x}$ $f"(x)=6+5e^{x}$ $f^{(3)}(x)=5e^{x}$

Work Step by Step

$f(x)=3x^{2}+5e^{x}$ $f'(x)=3(2)x^{2-1}+5e^{x}$ $f'(x)=6x^{1}+5e^{x}$ $f'(x)=6x+5e^{x}$ $f"(x)=6x^{1-1}+5e^{x}$ $f"(x)=6x^{0}+5e^{x}$ $f"(x)=6+5e^{x}$ $f^{(3)}(x)=0+5e^{x}$ $f^{(3)}(x)=5e^{x}$
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