View Poll Results: [Question in post]

Voters
2. You may not vote on this poll
  • a) intersect exactly once

    1 50.00%
  • b) intersect no more than once

    0 0%
  • c) do not intersect

    1 50.00%
  • d) could intersect more than once

    0 0%
  • e) have a common tangent at each point of intersection

    0 0%
Results 1 to 4 of 4

Math Help - If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, [more inside]

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    2

    Question If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, [more inside]

    If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, then the graphs of y = f(x) and y = g(x)...

    Came up on my calculus test, and it's the only one I can't get.
    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 Lukekeeeee View Post
    If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, then the graphs of y = f(x) and y = g(x)...

    Came up on my calculus test, and it's the only one I can't get.
    what's with the poll? you do math by majority opinion? one of the beautiful things about math is that it is objective. opinions don't matter!

    obviously they can't have a common tangent, since the slopes are always different.

    so reason through the others.

    (a) do they have to intersect once?

    consider f(x) = e^x and g(x) = -1

    (b) do they have to intersect more than once?

    consider the same example above

    (c) do they have to not intersect?

    ...come up with your own example of why or why not.

    do the same for choice (d)

    what do you come up with?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2008
    Posts
    2
    any more advice from anyone?

    [bump]
    Follow Math Help Forum on Facebook and Google+

  4. #4
    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 Lukekeeeee View Post
    any more advice from anyone?

    [bump]
    bumping is against the rules. and i am pretty sure everyone is waiting for a response from you. i asked you a question
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: February 10th 2011, 08:34 PM
  2. Area inside cardioid and also inside circle??
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 19th 2010, 05:57 PM
  3. [SOLVED] sums exist or do not exist
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 21st 2009, 09:04 AM
  4. Does f`(0) exist?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 6th 2009, 09:29 AM
  5. Replies: 8
    Last Post: April 7th 2009, 12:15 PM

Search Tags


/mathhelpforum @mathhelpforum