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anonymous

  • 5 years ago

how would i find the derivative of tanx-3cos5x?

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  1. Jessica
    • 5 years ago
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    do it in parts. First deal with tanx

  2. anonymous
    • 5 years ago
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    so (sinx/cosx) ?

  3. Jessica
    • 5 years ago
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    the derivative of tan is \[\sec ^{2}x\]

  4. Jessica
    • 5 years ago
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    sure you could also do it that way

  5. anonymous
    • 5 years ago
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    i know, but my teacher wants us using cos and sin identities right now

  6. Jessica
    • 5 years ago
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    then use the quotient rule

  7. Jessica
    • 5 years ago
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    have you learned the quotient rule?

  8. anonymous
    • 5 years ago
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    yes, but using it with these kinds of problems is still not second nature, you know?

  9. Jessica
    • 5 years ago
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    ya it will come with practice it's bottom times the derivitave of the top plus top times the derivative of the bottom all over the bottom squared.

  10. anonymous
    • 5 years ago
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    so i consider the top to be (sinx/cosx) and the bottom to be...?

  11. Jessica
    • 5 years ago
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    so cosx(cosx)-sinx(sinx)/\[\cos ^{2}x\]

  12. anonymous
    • 5 years ago
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    cos squared x?

  13. Jessica
    • 5 years ago
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    you will consider the top to be sinx and the bottom to be cos x

  14. anonymous
    • 5 years ago
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    so in using the quotient rule, i only deal with tanx?

  15. Jessica
    • 5 years ago
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    right that part goes on bottom and the other part goes on top so cos squared minus sin squared on top

  16. Jessica
    • 5 years ago
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    in using the quotient rule you deal with sinx/cosx

  17. anonymous
    • 5 years ago
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    In any problem where you derive a function, you derive each term seperately. That's why you use the quotient rule on the sin(x)/cos(x) only. You'll just add the result of that to the derivative of 3cos(5x). Do you know the derivative of sin(x) and cos(x)?

  18. anonymous
    • 5 years ago
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    you need to use the chain rule...See the linky... http://www.wolframalpha.com/input/?i=derivative+of+tanx-3cos5x

  19. anonymous
    • 5 years ago
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    and make sure you click on "Show the Steps"

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