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Exercise

$\frac{d}{dx}\left(\left(x^3+2\right)^{2\left(x^4+4\right)^4}\right)$

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Final answer to the exercise

$2\left(16\left(x^4+4\right)^{3}x^{3}\ln\left(x^3+2\right)+\frac{3\left(x^4+4\right)^4x^{2}}{x^3+2}\right)\left(x^3+2\right)^{2\left(x^4+4\right)^4}$

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