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MATH 105 PRACTICE EXAM 1

Please work out each of the given problems. Credit will be based on the steps that you show towards the final answer. Show your work.

Key

PROBLEM 1 Please answer the following true or false. If false, explain why or provide a counter example. If true, explain why.

A) (7 Points) If f(x) and g(x) are differentiable functions with

f '(5) = 10 and g'(5) = 4

then if

                         f(x)
     h(x)   =         - 3g(x)
                      2

then

h'(5) = -7

PROBLEM 7