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onegirl

  • 2 years ago

Find the derivative of f(x) tan 3x - csc 4x.

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  1. Twis7ed
    • 2 years ago
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    So you mean\[\frac{ d }{ dx }(\tan3x-4x)*\frac{ d }{ dx }(3x)*\frac{ d }{ dx }(4x)\]?

  2. onegirl
    • 2 years ago
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    no the derivative of tan 3x - 4x...the multiplying part is the directions

  3. onegirl
    • 2 years ago
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    hold on wait its tan 3x - csc 4x

  4. onegirl
    • 2 years ago
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    its tan 3x- csc 4x i miss typed it

  5. Twis7ed
    • 2 years ago
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    That's the answer you got or the correct answer?

  6. Twis7ed
    • 2 years ago
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    And what part of the equation is inside the tan? Is it tan(3x)-4x or tan(3x-4x)

  7. onegirl
    • 2 years ago
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    No not the correct answer i need to find the derivative of that and it says to multiply the derivatives of 3x and 4x into the promblem

  8. onegirl
    • 2 years ago
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    its tan 3x - csc 4x thats how it written

  9. Hoa
    • 2 years ago
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    @onegirl Please, post the right question. I confuse, too

  10. onegirl
    • 2 years ago
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    okay hold on

  11. onegirl
    • 2 years ago
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    let me edit my original question

  12. onegirl
    • 2 years ago
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    there do you guys see it now?

  13. Hoa
    • 2 years ago
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    yes. i think Twis7ed will guide you well.

  14. onegirl
    • 2 years ago
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    ok

  15. Twis7ed
    • 2 years ago
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    Oh, ok, so\[\frac{ d }{ dx }(\tan 3x - \csc 4x)=\frac{ d }{ dx }\tan3x - \frac{ d }{ dx }\csc4x\] From that you know that \[\frac{ d }{ dx }\tan3x = 3\sec^2(3x)\] and that \[\frac{ d }{ dx }\csc4x=-4\cot(4x)\csc(4x)\]so you end up with\[\frac{ d }{ dx }(\tan3x-\csc4x)=3\sec^2(3x)+4\cot(4x)\csc(4x)\]

  16. Twis7ed
    • 2 years ago
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    ^Do you understand that?

  17. Hoa
    • 2 years ago
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    it's the best

  18. onegirl
    • 2 years ago
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    yes, so i dont have to multiply the derivatives of 3x and 4x into the whole problem?

  19. onegirl
    • 2 years ago
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    yes i understood what you wrote/

  20. Twis7ed
    • 2 years ago
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    I'm not sure, what is the entire question?

  21. onegirl
    • 2 years ago
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    Okay so I found the derivative of that and my teacher told me to multiply 3x and 4x into it here is how i did it hold on

  22. onegirl
    • 2 years ago
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    d/dx (tan(3)x - csc 4x = tan(3) - csc 4

  23. onegirl
    • 2 years ago
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    i think i understnad where i went wrong now after seeing what you showed

  24. Twis7ed
    • 2 years ago
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    ALright, just try to remember that when you have a trig function you usually use the chain rule with the function and then the function inside of it and it should be easy :)

  25. onegirl
    • 2 years ago
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    okay thanks

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