baldymcgee6
  • baldymcgee6
Easiest way to go about taking this derivative? Power rule, chain rule and quotient rule is kind of ugly.
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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baldymcgee6
  • baldymcgee6
\[f(x) =\sqrt{\frac{ x-1}{ x+1}}\]
anonymous
  • anonymous
chain rule first then quotient rule
anonymous
  • anonymous
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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baldymcgee6
  • baldymcgee6
oops supposed to be 1-x and 1+x
anonymous
  • anonymous
still doesnt matter just flip the sings
anonymous
  • anonymous
|dw:1353220538034:dw|
anonymous
  • anonymous
chain rule the exponent 1/2 then differentiate the one inside the bracket using quotient rule
baldymcgee6
  • baldymcgee6
|dw:1353220581666:dw|
anonymous
  • anonymous
yup
baldymcgee6
  • baldymcgee6
that's ugly.
anonymous
  • anonymous
it really isnt ugly at all... i have seen even uglier ones at my level
anonymous
  • anonymous
just make the exponent -1/2 into a square root and put it beside the (1+x) ^2
anonymous
  • anonymous
same with the 2 in the denominator
baldymcgee6
  • baldymcgee6
This is for a first derivative analysis... It is ugly to find zeroes.
anonymous
  • anonymous
|dw:1353220820451:dw|
baldymcgee6
  • baldymcgee6
|dw:1353220855332:dw|
anonymous
  • anonymous
what are you trying to find?
baldymcgee6
  • baldymcgee6
first and second derivative analysis
anonymous
  • anonymous
for turning points and maximum/minimum?
baldymcgee6
  • baldymcgee6
max, min, inflections
anonymous
  • anonymous
no solution then
baldymcgee6
  • baldymcgee6
there is a min at x=1

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