(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The elevation of a mountain above sea level at (x,y) is 3000e^[tex]\frac{-x^2-2y^2}{100}[/tex] meters. The positive x-axis points east and the positive y-axis points north. A climber is directly above (10,10). If the climber moves northwest, will she ascend or descend and at what slope.

2. Relevant equations

[tex]\frac{d}{dx}[/tex]e^{u}=e^{u}[tex]\frac{du}{dx}[/tex]

3. The attempt at a solution

[tex]\nabla[/tex]f(10,10)=-600e^{-3}i-1200e^{-3}j

I know that the climber will descend but I don't know how to figure out the slope that she will descend at. Can anyone help?

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# Homework Help: Gradient Partial Derivative Problem

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