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derivative of sum gets merged - how to avoid?
12-19-2015, 08:16 PM
Post: #1
derivative of sum gets merged - how to avoid?
Derivative of ((3x-2)^7)/21 + (4-1/(2x^2))^(-1). The result given by HP Prime and the 50g are technically correct but not very neat since they're brought to a common denominator and you cannot do much with it afterwards. Also rather large and difficult to read; and it won't factor out afterwards.

In comparison, TI-nspire CAS delivers (3x-2)^6-(4x)/((8x^2-1)^2), which is much more readable, so does TI-89 Titanium and TI-92. Thomas gives (3x-2)^6-1/((x^3)*(4-1/(2*x^2))^2), so essentially identical, though I don't think I like the form of writing it as a complex fraction. Casio's Classpad II (emu) gives a similarly massive expression as the HPs do.

Mathematica 10 gives the complex fraction form first, and the simple fraction form after a Simplify[]. WolframAlpha gives a single fraction form result. Maple 18 gives a result identical to that of Thomas, and is not easily willing to go to a simple fraction form. Matlab R2015a and MuPAD give the complex fraction too, though with signs swapped in the square. Maxima's output is identical to that of Thomas.
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derivative of sum gets merged - how to avoid? - quinyu - 12-19-2015 08:16 PM



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