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Monday, March 30, 2015

Problem of the Week

Happy Monday from the Center! Spring should be fully in swing by now, yet there is still snow falling outside my office window in Cambridge. Maybe we'll have some warmth soon. Until then, let's have do some math! This week, we've got a problem from one of our calculus books: Worldwide Multivariable Calculus by David B. Massey.

 While not quite accessible to anyone interested in mathematics, this problem is a good challenge for anyone who has finished their calculus courses and needs a refresher. As usual, I've posted my solution below...

Taking the derivatives of this function required a chain rule within the quotient rule. As long as you're neat with your variables, it shouldn't be too difficult to work out. At the end we have a gradient vector that looks messier than our original problem!

See you all next week for another challenge problem.

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