A few days ago
Complicated Calculus?
Find the Derivative of the function
F(x)= (3+2x+3x^2)/(x^(3) -x+1)
please show work
Top 1 Answers
A few days ago
Favorite Answer
using the division rule
dy/dx = (x^3-x+1)[2+6x]-(3+2x-3x^2)[3x^2-1]
—————————————————-
(x^3 – x + 1)^2
= 2x^3 -2x + 2 + 6x^4 -6x^2+6x-[6x^2-3+6x^3-2x-9x^4-3x^2]
————————————————————————
(x^3 – x + 1)^2
= 2x^3 -2x + 2 + 6x^4 -6x^2+6x-6x^2+3-6x^3+2x+9x^4+3x^2 ————————————————————————
(x^3 – x + 1)^2
=(15x^4 -4x^3 – 9x^2 + 6x + 5)
—————————————–
(x^3 -x -1 ) ^2
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