Ex. 4: We look at the 2D gradient field of a function z=f(x,y). Can we see vertical and horizontal asymptotes? Great graphics with Mathematica - copy&paste: http://geogebrawiki.wikispaces.com/Gr...
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Gradient Fields - Introduction and Definition
1D Gradient Vector Field of Function y=f(x)
Ex 1: 2D Gradient Field - What do we see?
Ex 2: 2D Gradient Field - What do we see?
Ex 3: 2D Gradient Field - What do we see?
Ex 4: 2D Gradient Field - What do we see?
Vector Fields that are NOT Gradient Fields
3D Gradient Field - What do we see?