Results 1 to 6 of 6

Math Help - Use of differentials to approximate

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    38

    Use of differentials to approximate

    use differential to approximate Square root 17.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by av8or91 View Post
    use differential to approximate Square root 17.
    Have you tried anything here?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2008
    Posts
    38
    I know we need to do something with the closes square root which is 16. I just can remember how to do the rest.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Nov 2009
    Posts
    263
    Quote Originally Posted by av8or91 View Post
    I know we need to do something with the closes square root which is 16. I just can remember how to do the rest.
    use f(x + \triangle x) \approx f(x) + f'(x) \triangle x with f(x) = \sqrt{x}
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2008
    Posts
    38
    Im still not 100 percent getting this. Could someone show me how to do it? Thanks
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Nov 2009
    Posts
    50
    \sqrt{17}=f(x+\Delta x)
    Where x=16, \Delta x=1, and f(x)=\sqrt{x}

    f(x+\Delta x)\approx f(x)+{f}'(x)\Delta x

    {f}'(x)=\frac{\mathrm{d}[\sqrt{x}]}{\mathrm{d} x}=\frac{1}{2\sqrt{x}}

    f(17)\approx f(16)+(1){f}'(16)=4+\frac{1}{8}=33/8=4.125


    I hope this helps.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: December 1st 2010, 02:37 PM
  2. Replies: 3
    Last Post: March 1st 2010, 08:24 PM
  3. Differentials
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 28th 2009, 12:29 PM
  4. Using differentials to approximate
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 15th 2009, 11:30 PM
  5. Use differentials to approximate?
    Posted in the Calculus Forum
    Replies: 5
    Last Post: November 30th 2006, 09:29 AM

Search Tags


/mathhelpforum @mathhelpforum