Math 251
Test Three name
This taxing but fun fifty-minute test covers sections 3.5 through 3.11 of Calculus (5ed) by
James Stewart. Clearly indicate your answers. Unless otherwise indicated, all parts of
problems are four points each.
1. The figure shows the graphs of f, f', and f".
Identify each curve. (2 points each)
(a) = __, (b) = __, (c) = ___
2. Find the (first) derivative of the following
a) sinh ln x b) x ln x – x
c) tanh–1 x d) ln
5x
e) log3(5x) f) ln sinh x
