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anonymous

  • 5 years ago

what is the derivative of rad(cos^3x)?

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  1. anonymous
    • 5 years ago
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    what is rad?

  2. anonymous
    • 5 years ago
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    radical

  3. anonymous
    • 5 years ago
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    \[\sqrt{\cos ^{3}x}\]

  4. anonymous
    • 5 years ago
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    the derivative of the inside is (.5)(3(-sinx)^2)^-1

  5. anonymous
    • 5 years ago
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    I mean the derivative of the whole thing

  6. anonymous
    • 5 years ago
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    on the outside is it -1/2?

  7. anonymous
    • 5 years ago
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    wait no type.. it is (.5) ((-sinx)(3(cosx)^2))^-1/2

  8. anonymous
    • 5 years ago
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    The constant term is -1/2 and the whole second part should be in the denomenator

  9. anonymous
    • 5 years ago
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    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?

  10. anonymous
    • 5 years ago
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    yes its a whole bunch of chains.

  11. anonymous
    • 5 years ago
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    haha, okay. are you taking ap test?

  12. anonymous
    • 5 years ago
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    http://www.wolframalpha.com/

  13. anonymous
    • 5 years ago
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    Ya i am.. taking BC calc

  14. anonymous
    • 5 years ago
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    did you take the AB last year?

  15. anonymous
    • 5 years ago
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    the test i mean

  16. anonymous
    • 5 years ago
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    No i just flexed it.

  17. anonymous
    • 5 years ago
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    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

  18. anonymous
    • 5 years ago
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    haha. cool. i'll take the AB test next week. =] good luck with everything !

  19. anonymous
    • 5 years ago
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    yep you too.

  20. anonymous
    • 5 years ago
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    Ya I was wrong again.. use http://www.wolframalpha.com/input/?i=%28cos^3x%29^.5

  21. anonymous
    • 5 years ago
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    i didn't know you could use u sub for derivatives...

  22. anonymous
    • 5 years ago
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    They use it for the chain rule, but most of the time you don't see it.,

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spraguer (Moderator)
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