Chapter 3 - Derivatives - 3.3 Rules of Differentiation - 3.3 Exercises - Page 151: 46

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

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