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March 4, 2015

March 4, 2015

Posted by **Lauren** on Tuesday, April 14, 2009 at 7:07pm.

The question:

Find the derivative of (x/(x+1))^1/2

His answer: ( (x(x+1))^(1/2) ) / (2x(x+1)^2)

My answer: ((x+1)^(1/2)) / 2((x)^(1/2))((x+1)^2)

It looks to me like his answer is just my answer multiplied by x^(1/2) on the top and bottom, but I don't know how he did that. I'd like to know how to get my answer into the same form as his, because he asked us (as extra credit) to do the same problem using another method, and it would be easier for me to compare answers if mine was in the form he provided.

Any help would be welcome.

- Calculus -
**Lauren**, Tuesday, April 14, 2009 at 7:41pmNever mind, I figured it out-- he rationalized the denominator.

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