CALCULUS AND ANALYTIC GEOMETRY I - MAT 250
FALL 2008 - EXAM 2
Name :..........................................
TO RECEIVE FULL CREDIT YOU MUST SHOW YOUR WORK. No notes or books allowed.
No. 1. (10 points) State whether each statement is True or False as stated. Provide a clear
reason for your answer.
i) The derivative of the product is the product of derivatives.
ii) d
dx f(x)
g(x)!๎๎๎๎๎x=4
=f(4)g0(4) + g(4)f0(4)
(g(4))2
iii) The units meters per atmosphere might be used to measure the ROC of Pressure (in atmo-
spheres) in a water tank with respect to the depth.
iv) Suppose that f(2) = 4 and the average ROC of fbetween 2 and 5 is 3. The we have enough
information to compute f(5).
v) The third derivative of position with respect to time is zero for an object falling to earth under
the influence of gravity.
No. 2. (8 points) Given that f(x) = 4xโ3, compute f0(x) using the limit definition.
