1. ## Directional derivative..help..

Is this question asking for us to find the saddle point,maximum,minimum?I'm confused,how would I go about doing this?

Suppose you are climbing a hill of height z whose shape is given by the equation z(x,y)=1000-0.01x^2-0.04y^2 and you are standing at the point with the coordinates(240,80,168).

In which direction is the line of greatest steepness? Give your answer as unit vector.

Use a directional derivative to find the rate of climb in this direction.

2. Gradient - Wikipedia, the free encyclopedia

The gradient points in the direction where the function has the greatest rate of increase.

Directional derivative - Wikipedia, the free encyclopedia

In particular, the rate of climb in this direction is $|\nabla z(x,y)|$