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June 9th, 2010, 11:35 PM   #1
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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
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June 10th, 2010, 05:01 PM   #2
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Did you mean -i + 2j rather than -1 + 2j?
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June 10th, 2010, 07:06 PM   #3
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Re: Directional Derivative/Gradient Vector

Ah yes sorry that's a typo :s
-i + 2j is what I've got written here
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June 10th, 2010, 08:10 PM   #4
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Then I confirm your answers.
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June 10th, 2010, 10:19 PM   #5
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Re: Directional Derivative/Gradient Vector

Ok awesome, thankyou very much for your help!
Cheers
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