Results 1 to 9 of 9

Math Help - derivative.. problem

  1. #1
    Senior Member
    Joined
    Sep 2009
    Posts
    300

    derivative.. problem

    Hello,
    I need help , can someone show me how to find the derivative of the problem in the attached photo
    Please
    Attached Thumbnails Attached Thumbnails derivative.. problem-deriv2.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2010
    Posts
    354
    f(t)=\left(t+\frac{1}{t}\right)^{-2}

    f'(t) = -2 \left(t+\frac{1}{t}\right)^{-3} \cdot \left(t+\frac{1}{t}\right)'

    Can you finish from here? This is using the chain rule.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Sep 2009
    Posts
    300
     \left(t+\frac{1}{t}\right)'

    Can you finish from here? This is using the chain rule.

    ,I'm not sure what the derivative is of this part is????
    could you show me how to complete it please?
    Can the quotient rule not be used..
    Last edited by wolfhound; January 23rd 2010 at 11:22 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by wolfhound View Post
     \left(t+\frac{1}{t}\right)'

    Can you finish from here? This is using the chain rule.

    ,I'm not sure what the derivative is of this part is????
    could you show me how to complete it please?
    Can the quotient rule not be used..
    \frac{d}{dt}\left[t+\frac{1}{t}\right]=\frac{d}{dt}[t+t^{-1}]=1-t^{-2}=1-\frac{1}{t^2}
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Sep 2009
    Posts
    300
    Thanks for the help!
    But, is this the final answer?
    Attached Thumbnails Attached Thumbnails derivative.. problem-tprob.jpg  
    Follow Math Help Forum on Facebook and Google+

  6. #6
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by wolfhound View Post
    Thanks for the help!
    But, is this the final answer?
    No. It is only the part that you asked for. The final answer would be:

    f'(t)=-2\left(t+\frac{1}{t}\right)^{-3}\left(1-\frac{1}{t^2}\right)
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Senior Member
    Joined
    Sep 2009
    Posts
    300

    Angry

    Quote Originally Posted by VonNemo19 View Post
    No. It is only the part that you asked for. The final answer would be:

    f'(t)=-2\left(t+\frac{1}{t}\right)^{-3}\left(1-\frac{1}{t^2}\right)
    Thanks ,I meant was my bit in the photo the final answer,I was wrong as usual ..
    so it cannot be multiplied or simplified any further?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by wolfhound View Post
    Thanks ,I meant was my bit in the photo the final answer,I was wrong as usual ..
    so it cannot be multiplied or simplified any further?
    Imean, sure but I know that I wouldn't mess with it anymore unless I was trying to do something with it. Maybe I would write

    f'(t)=-2\frac{\frac{t^2-1}{t^2}}{\frac{(t^2+1)^3}{t^3}} and simplify.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Senior Member
    Joined
    Sep 2009
    Posts
    300

    Thumbs up

    Oki doki man,
    Thanks for your help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 28th 2010, 09:37 PM
  2. Derivative Problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 27th 2010, 06:02 AM
  3. derivative.. problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 13th 2010, 06:29 AM
  4. Derivative problem.
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 12th 2009, 07:58 AM
  5. Derivative problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 13th 2008, 02:41 AM

Search Tags


/mathhelpforum @mathhelpforum