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  • 15-08-2010 9:10am
    #1
    Closed Accounts Posts: 89 ✭✭


    ive an exam 2moro and i cant do this question......can someone please do it for me.....thanks..

    f(x)= cos(exp(2x + 1))/log(x^1/3 + 2).
    thanks.


Comments

  • Registered Users, Registered Users 2 Posts: 3,745 ✭✭✭Eliot Rosewater


    Erm, what must you do? Differentiate it?


    [LATEX]\displaystyle f(x)=\frac{\cos{(e^{2x+1})}}{\log(x^\frac{1}{3}+2)}[/LATEX]


  • Closed Accounts Posts: 89 ✭✭barbiedollz


    yes.....help would b appreciated....thanks


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    You have to use the quotient rule along with the chain rule,
    do you know what these things are?

    If not then you should watch a few of the calculus videos on
    www.khanacademy.org & www.justmathtutoring.com to learn how
    to do all of these things.

    Post your attempt when you've watched some of the videos ;)

    btw, you wont pass your test with us just answering this for you but I really
    think watching a good few of those videos carefully will get you high marks!


  • Closed Accounts Posts: 89 ✭✭barbiedollz


    You have to use the quotient rule along with the chain rule,
    do you know what these things are?

    If not then you should watch a few of the calculus videos on
    www.khanacademy.org & www.justmathtutoring.com to learn how
    to do all of these things.

    Post your attempt when you've watched some of the videos ;)

    btw, you wont pass your test with us just answering this for you but I really
    think watching a good few of those videos carefully will get you high marks!

    thanks....great help....
    i got this as an answer.......i dont really know how to reduce it.....could u help.......


    answer>>>>.....-2sinE(2x + 1)log(x^1/3 + 2)-cosE(2x + 1)/3x + 6x^2/3


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    I have to check something with you, are you using log to the base e or
    log to the base 10?
    Usually people write log to the base e as ln instead of log but it varies...
    It's important to clarify that.

    Basically, if you are using lnx in your book as well as logx then the equation
    you've given us is log to the base 10.

    However, seeing as you're writing e^x as exp(x) I really don't know what
    logarithm base you're using - it'll change the whole answer if I get it wrong...

    Well, to me your equation looks incorrect,

    http://video.google.com/videoplay?docid=-302107768128074440#

    http://www.youtube.com/watch?v=K3MxofAF-9o

    http://video.google.com/videoplay?docid=-2151813995371217836#

    http://www.youtube.com/watch?v=IZzSvA8zBTY&feature=channel

    These 4 videos, especially the first & fourth!, show you how to
    differentiate the thing correctly.

    Just make sure you know what base logarithm you're using...


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