y=(3x^4+2x)/(x^2-1) найти производную

Question

y=(3x^4+2x)/(x^2-1) найти производную

Answer 1

y'=((3x^4+2x)/(x^2-1))'=((12x^3+2)(x^2-1)-(3x^4+2x)(2x))/((x^2-1)^2)=

=(6x^5-12x^3-2x^2-2)/((x^2-1)^2)

Answer 2

Y = 3X^6 - 3X^4 + 2X^3 - 2X

Y' = 18X^5 - 12X^3 + 6X^2 - 2

Y'' = 90X^4 - 36X^2 + 12X

Y''' = 360X^3 - 72X^2 + 12

Y'''' = 1080X^2 - 144X 

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1080X^2 - 144X = 0

X(1080X - 144) = 0

1080X = 144

X = 0.13