For this partial derivative problem ( http://f.imgtmp.com/Yno68.jpg ) where this is the solution: ( http://f.imgtmp.com/NQjq6.jpg ). I don't get why I can't just do (I), (II), and (III) directly. If you're a teacher and graded this, would you require that I draw those trees as well as those equivalent equations with the = 0 or is the product of (I),(II), and (III) = -1 enough for full points?

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