Quiz 1

Date: MATH 1210-4 - Spring 2004

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

1. Find an equation for a line with slope $3$ and containing the point $(-1,1)$.

2. Let $f(x) = 5x^2-x$.
   1. Write down $\frac{f(x+h)-f(x)}{h}$, but do not simplify anything.
   2. Now simplify your previous expression as much as you can.
   3. Using your previous computations find $f'(x) = \lim_{h\rightarrow 0} \frac{f(x+h)-f(x)}{h}$.

3. For each of the following functions find the derivative (use properties of the derivative).
   1. $f(x)=3x^{1234}$.
   2. $g(x)=-x^9+33x^3+\frac{1}{3}$.