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Exercise

$\frac{d}{dx}\left(4+9x\right)^x$

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Final answer to the exercise

$\left(\ln\left(4+9x\right)+\frac{9x}{4+9x}\right)\left(4+9x\right)^x$

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