I have a problem which I can't seem to fathom. I am asked to differentiate [(sq rt x) 1]^2 / x with respect to x. I tackled the problem as follows:
First I expanded the top term to become [x 2(sq rt x) 1]. Then I multiplied by x^-1 to get 1 2(sq rt x)^-1 x^-1.
When I differentiated, I got -x^-3/2 - x^-2, but the answer sheet says 1 - x^-3/2 - 2x^-3. Can't see where I'm going wrong. Any help would be appreciated. Cheers. Adrian.

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