CalcIII extreme values and saddle points

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The discussion focuses on solving a calculus problem involving extreme values and saddle points. The user is struggling with partial derivatives and how to handle a linear function raised to a power. They plan to find critical points by solving for (0,0) and another point but are unsure about the method due to calculator restrictions. A potential solution involves using substitution between the equations of partial derivatives. The user expresses gratitude for the reminder about substitution as a possible approach.
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Homework Statement



http://img121.imageshack.us/img121/4601/54510849.png

The Attempt at a Solution



I separated the partial derivatives. However I do not know how to solve a linear function with a raised power. I know that I will have to solve for (0,0) and another answer. Yet, I just do not know how to solve for that power. Technically I can graph the functions but I cannot use a calculator in my clac class. If anyone can help me out that would be great.
 
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I would solve the Fx equation for y and then substitute the y value into the Fy equation, and vice versa.
 
oh I totally forgot about substitution. Thank you!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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