Chapter 4 - Section 4.2 - The Mean Value Theorem - Exercises - Page 223: 34

a) $y=x^2+C$ b) $y=x^2-x+C$ c) $y=x^3+x^2-x+C$

a) When $2x=(x^2)'$ Thus, $y'=2x \implies y=x^2+C$ b) When $2x-1=(x^2-x)'$ Thus, $y'=2x-1 \implies y=x^2-x+C$ c) When $3x^2+2x-1=(x^3+x^2-x)'$ Thus, $y'=x^2+x-x \implies y=x^3+x^2-x+C$