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$.



Javier Fernandez 2004-02-24