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Math Help - derivative

  1. #1
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    derivative

    can anyone plz help me find the derivtives to these equations??
    cos3x/(2+sinx)

    lnx/(x((lnx)^4)-1) x>0

    dx/(2+sinx+2cosx)

    sqr((x-3)/(x+3)
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  2. #2
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    Re:

    Quote Originally Posted by crazyhanna View Post
    can anyone plz help me find the derivtives to these equations??
    cos3x/(2+sinx)

    lnx/(x((lnx)^4)-1) x>0

    dx/(2+sinx+2cosx)

    sqr((x-3)/(x+3)
    Hold on and I will post the solutions; can you try to make #2 a bit neater. Is the x*ln(x)^4-1?
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  3. #3
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    Quote Originally Posted by crazyhanna View Post
    can anyone plz help me find the derivtives to these equations??
    cos3x/(2+sinx)
    Use the quotient and chain rules together:
    y = cos(3x)/(2+sin(x))

    y' = [-sin(3x)*3 * (2 + sin(x)) - cos(3x) * (cos(x))]/[2 + sin(x)]^2

    y' = -[3sin(3x)*(2 + sin(x)) + cos(x)*cos(3x)]/[2 + sin(x)]^2

    -Dan
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  4. #4
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    Quote Originally Posted by crazyhanna View Post
    sqr((x-3)/(x+3)
    Here it is...
    Attached Files Attached Files
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  5. #5
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    It shouldn't be dy/dx ?

    Regards.
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  6. #6
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    Re:

    RE: Good Point!!
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  7. #7
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    Re:

    Quote Originally Posted by crazyhanna View Post
    can anyone plz help me find the derivtives to these equations??
    cos3x/(2+sinx)

    lnx/(x((lnx)^4)-1) x>0

    dx/(2+sinx+2cosx)

    sqr((x-3)/(x+3)

    RE:
    Attached Thumbnails Attached Thumbnails derivative-dervatives.gif  
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