Y= X+1/(x^3+x-2)differentiate Using The Quotient R

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Y= x+1/(x^3+x-2) differentiate using the quotient rule

 

Answer No.1

Anonymous

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Y = (x + 1)/(x3 + x - 2) y' = [(x3 + x - 2)*(x + 1)' - (x + 1)*(x3 + x - 2)']/(x3 + x - 2)2 = [(x3 + x - 2)*1 - (x + 1)*(3x2 + 1)]/(x3 + x - 2)2 = (x3 + x - 2 - 3x3 - 3x2 - x - 1)/(x3 + x - 2)2 = (-2x3 - 3x2 - 3)/(x3 + x - 2)2

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