Unformatted text preview: you can reverse the order of multiplication by a variable, say x, and differentiation by a different one, say y dy y x df x dy y x xf d ) , ( )) , ( ( = What you can’t do is reverse the order of multiplication by x and differentiation by x (or y and differentiation by y, etc.) dx y x df x dx y x xf d ) , ( )) , ( ( ≠ Finally, while 2 2 2 2 2 ) ( and ) ˆ ( dx d dx d x x x x = = ⋅ = it is NOT true that 2 2 2 2 x is ) ( dx d dx d x , rather, you have to work it out...
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 Spring '11
 Linda
 Algebra, Addition, Mathematical notation

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