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Math 250 Midterm #3. November 18, 2005
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. (15pt) Find all stationary points of the function
f(x, y) = ex+y
(xy  y).
2
2. (20pt) Let functions f(x, y), g(t), h(t) be differentiable. Use the Chain Rule
and the facts that g (1) = 3, h (1) = 4,
f
x
(7, 8) = 5,
f
y
(7, 8) = 6, g(1) = 7,
