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Exercise

$\frac{d}{dx}\left(1+\frac{1}{x}\right)^x$

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Final answer to the exercise

$\left(\ln\left(1+\frac{1}{x}\right)+\frac{-1}{x+1}\right)\left(1+\frac{1}{x}\right)^x$

Try other ways to solve this exercise

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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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