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M
 5 years ago
why is direction of gradient vector steepest?
M
 5 years ago
why is direction of gradient vector steepest?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0....erm..can you make your question a bit clearer?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0steepest derivative, it says walk in the direction of gradient vector

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0whats the equation given

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just the general directional vector Udel(f)}cos(theta)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0gradient represents the steepest rate of increase of some function for each of the points where the function is defined, but each gradient vector is also perpendicular to the level tangent directions at a point. Note that these gradient vectors are not "normal" to the surface of the hill  as in pointing up into the sky. They are normal to level directions.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The dell is always unitized, that means it is always positive, it is related to the slope, derivative, positve slope.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why is gradient vector the steepest ascent?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It has a relation to the cos function which is merely between 1 and 1. It always end on the +1 side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and max is when cos = 1?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, in fact the magnitude of unit vector is equal to 1 so it always win out.
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