Sections 4.1 - 4.2 Problem Set
Problems on the Derivative as a Rate of Change: Complete the following problems,
being sure to show ALL of your work.
1. A thin metal wire is exposed to heat at one end. Its temperature in degre
Sections 4.3 - 4.4 Problem Set
The position of a particle (in meters) at time t (in seconds), for t 0 is
given by the function s (t ) = 2(t 2 1) 4 . For this problem, be sure to label
all answers with correct units!
Sections 4.3 - 4.5 Problem Set
1. Suppose that h( x) = f ( g ( x ). Find an expression for h '( x) in terms of
f , g , and its derivatives.
2. Suppose that h( x) = f (2 x) g ( x 2 ) . Find an expression for h '( x) in terms