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Easiest way to go about taking this derivative? Power rule, chain rule and quotient rule is kind of ugly.

Calculus1
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\[f(x) =\sqrt{\frac{ x-1}{ x+1}}\]
chain rule first then quotient rule
and it isnt ugly at all. The higher u go, the more 'uglier' it gets. dont be afraid of 'ugly' solutions

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Other answers:

oops supposed to be 1-x and 1+x
still doesnt matter just flip the sings
|dw:1353220538034:dw|
chain rule the exponent 1/2 then differentiate the one inside the bracket using quotient rule
|dw:1353220581666:dw|
yup
that's ugly.
it really isnt ugly at all... i have seen even uglier ones at my level
just make the exponent -1/2 into a square root and put it beside the (1+x) ^2
same with the 2 in the denominator
This is for a first derivative analysis... It is ugly to find zeroes.
|dw:1353220820451:dw|
|dw:1353220855332:dw|
what are you trying to find?
first and second derivative analysis
for turning points and maximum/minimum?
max, min, inflections
no solution then
there is a min at x=1

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