Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 239: 66

a) False b) False c) True

a) $\dfrac{d}{dx}[\sqrt {x^2+x +C}]=\dfrac{1}{2\sqrt {x^2+x +C}} (2x+1) \ne \sqrt {(2x+1)}$; False b) $\dfrac{d}{dx}[\sqrt {x^2+x }+C]=\dfrac{1}{2\sqrt {x^2+x}} (2x+1) \ne \sqrt {(2x+1)}$; false c) $\dfrac{d}{dx}[\dfrac{1}{3} (\sqrt {(2x+1)^3}+C]=\dfrac{1}{3}(3) (\sqrt {(2x+1)^2})\dfrac{1}{2 \sqrt{2x+1}} \ne \sqrt {(2x+1)}$; True