Interactive: Fermat's Theorem

Fermat's Theorem: If \(f\) is a local maximum or minimum at \(c\), and if \(f'(c)\) exists, then \(f'(c)=0\).

Critical Number: A number \(c\) in the domain of \(f\) such that either \(f'(c)=0\) or \(f'(c)\) does not exist.

Instructions: With the mouse, move point P along the function and you will see it's derivative traced in green. Here c and d are the critical numbers for the function graphed in blue. Refresh browser to start over.

Intermediate Algebra Exam #3

Click on the 10 question exam covering topics in chapter 6. Give yourself one hour to try all of the problems and then come back and check your answers.

[ IA Sample Exam #3 ]

 

 

 

 

  

  

9. The height of a baseball in feet tossed upward is given by the function

where t represents time in seconds.  What is the maximum height of the baseball? 

10. Find a quadratic equation with solutions: {±5i}

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