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How to differentiate y = ln( 1+x^2)^1/2

  • Thread starter geffman1
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  • #1
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Homework Statement



hey guys, got a question. how do ya differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

Homework Equations



answer is x/(1+x^2)

The Attempt at a Solution

 

Answers and Replies

  • #2
33,169
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Power rule and chain rule.
 
  • #3
Cyosis
Homework Helper
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To get the answer you have listed your function must be [itex]\ln \sqrt{1+x^2}[/itex] and not [itex]\sqrt{\ln(1+x^2)}[/itex]. You can write [itex]\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)[/itex], perhaps this form is less intimidating?
 
  • #4
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so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys
 
  • #5
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
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so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys
Go check your rules of differentiation again....
 

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