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rachna
 3 years ago
Determine if (y=tan x + sec x) has any maximums or minimums for pi/2 < x < pi/2 and justify your answer.
rachna
 3 years ago
Determine if (y=tan x + sec x) has any maximums or minimums for pi/2 < x < pi/2 and justify your answer.

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badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0y'=sec(x)^2+sin(x), y'=0 when sec(x)^2=sin(x), solve, profit!

rachna
 3 years ago
Best ResponseYou've already chosen the best response.0wait how dou get sin(x)??

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0Oh, sin(x) was my mistake.

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0Apparently, I'm still bad at calculus. XP It should be (sin(x))(cos(x)^2).

rachna
 3 years ago
Best ResponseYou've already chosen the best response.0i thought derivative of sec x is sec x tan x

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0sin(x)/cos(x)^2=tan(x)/cos(x)=tan(x)sec(x)

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0Same thing. I just didn't remember it, I had to prove it out.

rachna
 3 years ago
Best ResponseYou've already chosen the best response.0ok so what i do now after i got the derivative ??

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0sec(x)^2+tan(x)sec(x)=y'=0, tan(x)+1=0, tan(x)=1, x=arctan(1)

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0Woops, my bad. Wait a sec.

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0(sec(x)+tan(x))=0, tan(x)=sec(x)

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0there we go. when do tan(x) and sec(x) intersect?

rachna
 3 years ago
Best ResponseYou've already chosen the best response.0wait a minute i need to look at unit circle, i dont have those memorized

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0sin(x)/cos(x)=1/cos(x), sin(x)=1 when is this true?
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