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# Math Problem of the Day

### (Updated 5/3/2010 2:22:04 AM)

Welcome to our daily solved problem section. Here you'll find daily solved problems. The topics are varied: Calculus, Algebra, Differential Equations, etc.

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Problem 1. Compute the derivative of the function

Solution. We compute the derivative using the Quotient Rule. Notice that

We could try to keep simplifying, but it'snot clear if we could make it more compact, so we just leave it like that.

Problem 2. Differentiate the function

Solution. We are going to use use the Product Rule, which yields

Here we are using a generalized version of the Product Rule for three functions:

Pretty easy to remember, uh? Let's now come back to our example. Using the previous equality yields

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