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VIbarguen1
 2 years 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
VIbarguen1
 2 years 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

This Question is Closed

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

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

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

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

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

VIbarguen1
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1Z means k belong to the interger set,it's just a generical ans

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

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

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

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

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

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