Math 2250 HW #6
Due 12:30 PM Thursday, September 19
Reading: Hass §3.4–3.6
Problems: Do the assignment “HW6” on WebWork. In addition, write up solutions to the
following problems and hand in your solutions in class on Thursday.
1. Roughly speaking, we can approximate the human-equivalent age of a dog which is y years
old by the function
y2
√
h(y) = 16 y + .
15
This isn’t perfect, but it’s certainly more accurate than claiming that a 1-year-old dog is
equivalent to a 7-year-old human.
Anyway, assuming this function is correct:
(a) What information does the function h0 (y) convey? To guide your thinking, consider the
following: if h0 (2) ≈ 5.92, what does that really tell us about how a 2-year-old dog is
aging?
(b) What is h0 (4)?
2. Consider the function f (x) =
x2 e x
.
1+x2
What is f 0 (x)?
3. Find the derivative of the function g(x) = sin(x) cos(x).
1