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Gradient Functions.

Name: Anonymous 2006-10-28 16:38

y = ax^n is a curve.

Is there a function to find the gradient on any point of this line?

Name: Anonymous 2006-10-28 17:01

yes

Name: Anonymous 2006-10-28 18:26

>>1
The curve y = ax^n is the same as the level set y - ax^n = 0. The gradient of that is, of course, [-n*ax^(n-1), 1].

Name: Anonymous 2006-10-29 11:43

>>1
If a and n are constants...

Why not basic calculus?

Name: Anonymous 2006-10-30 20:00

y' = nax^(n-1)??

Name: Anonymous 2006-10-30 20:30

>>1
I think you're just looking for a derivative; gradient is generally only for functions of multiple variables.

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