calc11 - i @x j _ = @y1 @x1 @y1 @x2 @y2 @x1 @y2 @x2 ! = _...

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4. A function y = (y 1 , y 2 ) is defined by y 1 = 3x 21 + x 22 and y 2 = x 1 x 2 − 1 x 1 + 2 . (a) Find the Jacobian matrix _ @y i @x j _ , and say where y is differentiable. Solution. y x = _ @y
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Unformatted text preview: i @x j _ = @y1 @x1 @y1 @x2 @y2 @x1 @y2 @x2 ! = _ 6x 1 2x 2 2x2+1 (x1+2)2 x1 x1+2 _ . Each partial derivative appearing here is a rational function and thus continuous...
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This note was uploaded on 02/11/2010 for the course MA 141 taught by Professor Zeck during the Spring '10 term at Quebec Trois-Rivieres.

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