My Math Forum Directional Derivative/Gradient Vector

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 June 9th, 2010, 10:35 PM #1 Newbie   Joined: Jun 2010 Posts: 3 Thanks: 0 Directional Derivative/Gradient Vector Hi all. I'd just like to check my answers for 2 questions in a previous exam paper, to which the answers weren't supplied h(x,y) = e^xy + 2x q1) Find the gradient vector of h(1, 0) I got 2i + j q2) In which 2 directions could I move from the point (1, 0, 3) along z = h(x, y) so as to remain at constant height. I got i - 2j and -1 + 2j If someone could confirm those, that would be awesome! Thanks in advance Left of Zen
 June 10th, 2010, 04:01 PM #2 Global Moderator   Joined: Dec 2006 Posts: 18,962 Thanks: 1606 Did you mean -i + 2j rather than -1 + 2j?
 June 10th, 2010, 06:06 PM #3 Newbie   Joined: Jun 2010 Posts: 3 Thanks: 0 Re: Directional Derivative/Gradient Vector Ah yes sorry that's a typo :s -i + 2j is what I've got written here
 June 10th, 2010, 07:10 PM #4 Global Moderator   Joined: Dec 2006 Posts: 18,962 Thanks: 1606 Then I confirm your answers.
 June 10th, 2010, 09:19 PM #5 Newbie   Joined: Jun 2010 Posts: 3 Thanks: 0 Re: Directional Derivative/Gradient Vector Ok awesome, thankyou very much for your help! Cheers Left of Zen

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