Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (a)/Solution 1

The answer is (c). This is because the derivative $f^{'}$ gives a quantitative (in numbers) explanation of the rate-of-change of the function $f$ at points $x$ in its domain. Therefore, if we want to know the rate-of-change of $f$ at the point $x=1$, we evaluate $f^{'}(1)=2$.