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derivative of sum gets merged - how to avoid?
12-20-2015, 04:43 AM
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RE: derivative of sum gets merged - how to avoid?
A similar case is to be seen when deriving the expression (5-2x)^(-3)+((2/x+1)^4)/8. The results provided by both HP 50g and HP Prime are bulky.

TI-nspire CAS gives 6/(2x-5)^4-(x^3+6x^2+12x+8)/x^5, so it still doesn't play fully nice with the second expression, and inverts the signs for the denominator of the first term (not that it matters), where Thomas gives the form ((2/x+1)^3)/x^2 instead. Same with the TI-89 Titanium and TI-92. The Casio Classpad II (emu) gives a bulky result like the HPs due to the common denominator.

Mathematica delivers the complex fraction form result first, a Simplify[] gives the probably neatest rewrite 6/(5-2x)^4-((2+x)^3)/(x^5); WolframAlpha gives this second one right away. Maxima, Maple, Matlab and MuPAD results are identical to that of Thomas.
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RE: derivative of sum gets merged - how to avoid? - quinyu - 12-20-2015 04:43 AM



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