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Exercise

$\frac{d}{dx}\left(\frac{x^2\sqrt{3x-2}}{\left(x-1\right)^2}\right)$

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Final answer to the exercise

$\left(\frac{2}{x}+\frac{3}{2\left(3x-2\right)}+\frac{-2}{x-1}\right)\frac{x^2\sqrt{3x-2}}{\left(x-1\right)^2}$

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  • Find the derivative using the definition
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  • Find the derivative using the quotient rule
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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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