Math 2250 HW #5
Due 12:30 PM Thursday, September 12
Reading: Hass §3.1–3.3
Problems: Do the assignment “HW5” on WebWork. In addition, write up solutions to the
following problems and hand in your solutions in class on Thursday.
1. Shown below is the graph of the function p(x) = x2 − 3x along with the tangent line at the
point (3, 0). What is the equation of this tangent line?
4
3
2
1
-1
1
2
3
4
-1
-2
-3
-4
2. (a) Give an example of two functions f (x) and g(x) so that f and g are both continuous but
not differentiable at x = 0, but the function h(x) = f (x)g(x) is differentiable at x = 0.
(b) Is it possible to find functions f (x) and g(x) so that f and g are continuous but not
differentiable at x = 0 and the function k(x) = f (x) + g(x) is differentiable at x = 0? If
it is possible, find two such functions. If it is not possible, explain why.
1