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Exercise

$\frac{d}{dx}\left(\frac{e^{\left(x+y\right)}}{2y-1\cdot e^{\left(x+y\right)}}\right)$

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Final answer to the exercise

$\frac{y^{\prime}}{y}=1+y^{\prime}+\frac{-1}{2y-e^{\left(x+y\right)}}\left(2y^{\prime}-e^{\left(x+y\right)}\left(1+y^{\prime}\right)\right)$

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