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 one year ago
Cal help?
find the intervals for which f is increasing or decreasing and locate all relative extrema on (0,2pi).
f(x)= cos x / 1 + sin ^ 2x
 one year ago
Cal help? find the intervals for which f is increasing or decreasing and locate all relative extrema on (0,2pi). f(x)= cos x / 1 + sin ^ 2x

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satellite73
 one year ago
Best ResponseYou've already chosen the best response.0did you take the derivative?

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0Yep I got f'(x) = 2 sin(x) cos (2x) + 5 /cos (2x)3 )^2

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0it is so long im not sure its right

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1dw:1389408369353:dw

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0could you help me solve that I have no idea how

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1use sin²(x)+cos²(x)=1> cos²(x)=1sin²(x), and then you will have only sin x in your equations

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1dw:1389408745656:dw

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0raphael i'm sorry i am not following, where did the Z come from? and how does that get me to the extrema?

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1Z means k belong to the interger set,it's just a generical ans

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1x= 0 and 2 pi will be your solutions

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0is that my min and max solutions?

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0and it would be decreasing because its positive right?

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1min x= pi max are both x=0 and 2pi

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1when sin(x)> 0 it will be decreasing x in]0,pi[ when sinx(x)<0 it will be increasing x in ]pi,2pi[

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1decreasing f'<0 increasing f'>0

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1you are welcome
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