Quiz 5

Date: MATH 1210-4 - Spring 2004

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Use the definition of derivative, $f'(x) = \lim_{h\rightarrow 0} \frac{f(x+h) -f(x)}{h}$, to find the derivative of $f(x) = \frac{1}{x^2+1}$.

2. The limit $\lim_{h\rightarrow 0} \frac{(2+h)^5-3(2+h) - 26}{h}$ is a derivative $f'(a)$ of a function $f(x)$ at a point $a$. Find $f(x)$ and the point $a$.