MATH 221  Assignment on the Derivative. (Due Friday, September 14)

1.  Using the limit definition of the derivative:   , compute  for each of the following:

a)          b)     c)       d)

2.  Find the equation of the tangent line to the graph of at the point corresponding to x = -2.

3.  Find the equation of the tangent line to the graph of  at the point corresponding to x = 4.

4.  Find all points on the graph of  such that the tangent lines at those points are perpendicular to the line y = x+1.  Find the equations of those tangent lines.