SOLUTION: What is the derivative of this function? f(x) = sqrt of x-1 / x+1? and the derivative of the function y = (x-1)sqrt of x^2 - 2x +2?

Algebra ->  Functions -> SOLUTION: What is the derivative of this function? f(x) = sqrt of x-1 / x+1? and the derivative of the function y = (x-1)sqrt of x^2 - 2x +2?      Log On


   

Question 168885: What is the derivative of this function? f(x) = sqrt of x-1 / x+1? and the derivative of the function y = (x-1)sqrt of x^2 - 2x +2?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the derivative of this function? f(x) = sqrt of x-1 / x+1?
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Assuming it's sqrt%28%28x-1%29%2F%28x%2B1%29%29:
Oooops, I clicked the wrong button, I wasn't finished. I'll edit it here.
=%28x-1%29%5E%281%2F2%29%2A%28x%2B1%29%5E%28-1%2F2%29%29
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d/dx = deriv of the 1st term x the 2nd, + deriv of the 2nd term times the first

From here it's just simplication
d%2Fdx+=+%281%2F2%29%2A%28x%2F%28%28x%2B1%29%2A%28x%5E2+-+1%29%5E%281%2F2%29%29%29
and the derivative of the function y = (x-1)sqrt of x^2 - 2x +2?
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y+=+%28x-1%29sqrt%28x%5E2+-+2x+%2B2%29
Same procedure

=
It's easy to make an error. Check it carefully.