anonymous
  • anonymous
what is the derivative of rad(cos^3x)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
what is rad?
anonymous
  • anonymous
radical
anonymous
  • anonymous
\[\sqrt{\cos ^{3}x}\]

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anonymous
  • anonymous
the derivative of the inside is (.5)(3(-sinx)^2)^-1
anonymous
  • anonymous
I mean the derivative of the whole thing
anonymous
  • anonymous
on the outside is it -1/2?
anonymous
  • anonymous
wait no type.. it is (.5) ((-sinx)(3(cosx)^2))^-1/2
anonymous
  • anonymous
The constant term is -1/2 and the whole second part should be in the denomenator
anonymous
  • anonymous
okay so when you chan the radical, you do the derivative of the cos. and in finding the derivative of cos, you have to chain it again?
anonymous
  • anonymous
yes its a whole bunch of chains.
anonymous
  • anonymous
haha, okay. are you taking ap test?
anonymous
  • anonymous
http://www.wolframalpha.com/
anonymous
  • anonymous
Ya i am.. taking BC calc
anonymous
  • anonymous
did you take the AB last year?
anonymous
  • anonymous
the test i mean
anonymous
  • anonymous
No i just flexed it.
anonymous
  • anonymous
I learned all of this in like middle school, and then now I'm just testing out of it so I can take college next year. calc 3 = fun
anonymous
  • anonymous
haha. cool. i'll take the AB test next week. =] good luck with everything !
anonymous
  • anonymous
yep you too.
anonymous
  • anonymous
Ya I was wrong again.. use http://www.wolframalpha.com/input/?i=%28cos^3x%29^.5
anonymous
  • anonymous
i didn't know you could use u sub for derivatives...
anonymous
  • anonymous
They use it for the chain rule, but most of the time you don't see it.,

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