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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
 3 months ago
 3 months 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
 3 months ago
 3 months ago

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satellite73Best ResponseYou've already chosen the best response.0
did you take the derivative?
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
Yep I got f'(x) = 2 sin(x) cos (2x) + 5 /cos (2x)3 )^2
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
it is so long im not sure its right
 3 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
dw:1389408369353:dw
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
could you help me solve that I have no idea how
 3 months ago

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

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
dw:1389408745656:dw
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
raphael i'm sorry i am not following, where did the Z come from? and how does that get me to the extrema?
 3 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
Z means k belong to the interger set,it's just a generical ans
 3 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
x= 0 and 2 pi will be your solutions
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
is that my min and max solutions?
 3 months ago

VIbarguen1Best ResponseYou've already chosen the best response.0
and it would be decreasing because its positive right?
 3 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
min x= pi max are both x=0 and 2pi
 3 months ago

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

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
decreasing f'<0 increasing f'>0
 3 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.1
you are welcome
 3 months ago
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