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soccergal12
Group Title
find all relative extrema and points of inflection:
f(x) = 2 / (x^2  4)
i got x^2 = 4/3 as an inflection point. but i think i did something wrong
 2 years ago
 2 years ago
soccergal12 Group Title
find all relative extrema and points of inflection: f(x) = 2 / (x^2  4) i got x^2 = 4/3 as an inflection point. but i think i did something wrong
 2 years ago
 2 years ago

This Question is Closed

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
no... nothing wrong there... what happens when you take the square root of a negative number?
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
well you can't take a sqaure root of a negative number. so i wouldn't have any inflection points right?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
right... that's what that means...
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
but that does not mean the graph is all concave up or all concave down.... there can be places on your graph where in one interval its ccup and in another it's ccdown...
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
or vice versa....
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
okay, the question does not ask for concavity, but should i still determine if there is some type of concavity? just to be safe?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
sorry... hate when chrome crashes... no we don't need concavity but the question did ask for points of inflection...
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
so according to what u got, there are no points of inflection...
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
now all you need are relative max/mins... do you have your first derivative?
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
yes , it was (4x) / (x^2 4)^2
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
so what's your critical number(s) ?
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
0, 2 and 2, i said there was a relatve max at (0, 1/2)
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
ok.... now do the first derivative test on the intervals: (infinity, 2) (2, 0) (0, 2) (2, infinity)
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
i did that and found the relative max
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
oh... sorry... i guess you're done...:)
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
perfect. thank you :)
 2 years ago
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