Derivatives > derivative of 1/(sqrt(x+1))
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ddx (1√x+1 )=−12(x+1)32  
 
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ddx (1√x+1 )=−12(x+1)32  
  • steps
    • ddx (1√x+1 )
  • Apply exponent rule:    1a =a−1
    =ddx ((x+1)−12 )
  • show steps
    Apply the chain rule:    −12(x+1)32  ddx (x+1)
    =−12(x+1)32  ddx (x+1)
  • show steps
    ddx (x+1)=1
    =−12(x+1)32  · 1
  • Simplify
    =−12(x+1)32  

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