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

moule

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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