Science:Math Exam Resources/Courses/MATH110/December 2014/Question 04 (c)/Statement

The following limit

$$\lim _{h\to 0}{\frac {{\frac {1}{(2+h)^{2}}}-{\frac {1}{4}}}{h}}$$

equals the derivative ${\textstyle f'(a)}$ for some function ${\textstyle f}$ and some point ${\textstyle a}$.

(c) Confirm your answer to part (b) by computing the derivative ${\textstyle f'(a)}$ for the function ${\textstyle f}$ and point ${\textstyle a}$ you identified in part (a) using appropriate differentiation rules.