I am given z = 32 - x[tex]^{2}[/tex] - 4y[tex]^{2}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Starting at the point (3,2) ini+jdirection,

find if you are going up or down the hill and how fast.

The way I thought to proceed was that the gradient would tell me if I was going down or up hill and that [tex]\left|\nabla z \right|[/tex] would give me "how fast". My answer of [tex]\sqrt{292}[/tex] isn't correct however, so I'm obviously doing something wrong. Can anyone point me in the right direction of how to proceed?

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# Gradient Question

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