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Math Help - Differentiation

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    23

    Differentiation

    Check my answers please

    1. f(x)=sin\frac 1{x}
    MY answer: -\frac 1{x^2}cos\frac 1{x}

    2. m(x)=e^xsinx
    My answer: e^xcosx+e^xsinx

    3. f(x)=ln(x^3-x+9)
    My answer: \frac {3x^2+1}{x^3-x+9}

    4. f(x)=ln(e^x+1)
    My answer: \frac {e^x}{e^x+1}

    5. u(x)=x arctan x
    My answer: arctanx+\frac x{x^2+1}

    6. v(x)=artan(x+1)
    My answer: \frac 1{(x+1)^2+1}
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  2. #2
    Super Member
    Joined
    Dec 2008
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    Scotland
    Posts
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    Quote Originally Posted by jkami View Post
    Check my answers please

    1. f(x)=sin\frac 1{x}
    MY answer: -\frac 1{x^2}cos\frac 1{x}

    2. m(x)=e^xsinx
    My answer: e^xcosx+e^xsinx

    3. f(x)=ln(x^3-x+9)
    My answer: \frac {3x^2+1}{x^3-x+9}

    4. f(x)=ln(e^x+1)
    My answer: \frac {e^x}{e^x+1}

    5. u(x)=x arctan x
    My answer: arctanx+\frac x{x^2+1}

    6. v(x)=artan(x+1)
    My answer: \frac 1{(x+1)^2+1}
    Number 3) should be \frac {3x^2-1}{x^3-x+9}, everything else is correct.
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