Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (a)/Hint 2

Notice that options (a.) and (b.) are both examining the function $f$ itself. Option (c.) deals with the $f^{'}$, which is the first-derivative of the function $f$. Finally, option (d.) deals with $f^{''}$, the second-derivative of the function $f$. Which one of these three functions, $f,f^{'}$ and $f^{''}$ gives a quantitative (in numbers) explanation of the "rate of change" of $f$ at the point $x=1$?