Math 1411: Test 3

 

A correct answer without supporting work or explanation will not be awarded credit.  Exact answers only.  Work 3 out of the 4 problems.  Write the problem you omitted by your name.  If you do not write the problem you are omitting, I will grade the first three problems I encounter on the test.

 

1.         Find the derivative of the following functions:

            a)        

            b)        

            c)        

            d)        

            e)        

            f)         

            g)        

            h)        

            i)         

 

2.                              Find

 

3.         .

            a)         Find the local minima and maxima.

            b)         Find inflection points.

            c)         Identify the intervals where the function is increasing.  Decreasing.

            d)         Identify the intervals where the function is concave up.  Concave down.

 

4.         Find the equation of the tangent line that approximates the function  near 0.

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Solutions

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Author: Dr. Nancy Marcus