Results 1 to 4 of 4

Math Help - Tangent to Given Curve

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    15

    Tangent to Given Curve

    Need help on this problem



    have 0 idea what to do/how to start it...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by stiitches View Post
    Need help on this problem



    have 0 idea what to do/how to start it...
    tangent to the given curve at what point?

    anyway, remember, the derivative gives the slope of the tangent line at any point.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2010
    Posts
    15
    Quote Originally Posted by Jhevon View Post
    tangent to the given curve at what point?

    anyway, remember, the derivative gives the slope of the tangent line at any point.
    I dont know, thats the whole question...
    So I should start by finding the derivative of the first function? or the second one?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,725
    Thanks
    1478
    Quote Originally Posted by stiitches View Post
    I dont know, thats the whole question...
    So I should start by finding the derivative of the first function? or the second one?
    In order for a line to be tangent to a curve, at a given point, both curve and line must pass through the point and must have the same derivative there.

    So you need to find c and x such that y= \frac{5}{6}x+ \frac{15}{2}= c\sqrt{x} and they have the same derivative for that x. That is two equations to solve for x and c.

    I will give you one derivative free- the derivative of y= \frac{5}{6}x+ \frac{15}{2} is \frac{5}{6}, for all x. What is the derivative of c\sqrt{x}? (That will depend on x.)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. tangent of a curve
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 21st 2010, 02:52 AM
  2. Replies: 6
    Last Post: April 7th 2010, 02:34 PM
  3. Tangent Curve to a Curve
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 25th 2009, 12:03 AM
  4. tangent to the curve
    Posted in the Calculus Forum
    Replies: 14
    Last Post: January 17th 2008, 05:07 AM
  5. Tangent of a Curve
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 11th 2007, 07:21 PM

Search Tags


/mathhelpforum @mathhelpforum