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anonymous
 5 years ago
what are the critical points for F(x) = 2*(x^2+1)/(x^21)^2
anonymous
 5 years ago
what are the critical points for F(x) = 2*(x^2+1)/(x^21)^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Agh. D: This one's messy. Get some quotient rule & chain rule in there, take the derivative and set it equal to zero. Keep the 2 on the outside the whole time, for simplicity.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0also find where f' doesnt exist

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dy^2/d^2x 2/(x^21) = dy/dx(4x)/(x^21) = (12x^34)/(x^2  1)^3 set dy^2/d^2x to zero which equal

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ah yes, and the second derivative as well. Points of inflection. :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait oops.... i was look for the point of inflection sorry. So.....dy/dx 2/(x^21) = (4x)/(x^21) set the derivative to zero and solve. the first derivative is 0.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there isn't a point of inflection because it is a monotonic function

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're correct, my bad. :P Got me confused for a second there.
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