Let $f(x) = \frac{2}{x}$. Compute $f'( 1 )$.

Answer:

Use this to find the equation of the tangent line to the hyperbola $\displaystyle y = \frac{2}{x}$ at the point $( 1 , 2.000 )$. The equation of this tangent line can be written in the form $y = mx+b$. Determine $m$ and $b$.

$m=$

$b=$