For the second one, I know it looks scary, but break it up using the log rules and it ain't so bad.
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Now, you can differentiate, can't you?.
I would leave it like this.
For the second problem, the first thing I would do would be to use the property of logarithms to split this up a bit:
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Then
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and then simplify a bit.
The brute force approach also works. It involves the chain rule, the quotient rule, the product rule, and a LOT of cancellations:
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(Sorry. I had to split the second factor up into terms to make the LaTeX work.)
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just like before. (I highly recommend the first method, but the second one is *great* for practice! )
-Dan