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}$.



Javier Fernandez 2004-01-22