Math 1411: Test 2

 

A correct answer without supporting work or explanation will not be awarded credit.

 

1.         a.         Using the definition of derivative, find  if

 

            b.         Find the equation of the tangent line at

 

 

 

2.         Given the function , find .

3.         Find the derivatives of

            a.        

            b.        

            c.        

4.         Given the following function,

            a.         Indicate the intervals where the function is increasing, decreasing, concave up, concave down.

            b.         Indicate the location of inflections points (if any)

            c.         Sketch the graph of the derivative function.

            d.         What is the equation of the function?

 


Solutions

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Author: Dr. Nancy Marcus