1. May 6, 2009 #1

   banana_banana

   

   1. The problem statement, all variables and given/known data
   
   If P(x)=x^(1/2)
   show that P(x+h)-P(x)=h/[(x+h)^(1/2)+ x^(1/2)]
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   
   
   pls help me. I don't have any idea of this...

    

   banana_banana, May 6, 2009
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3. May 6, 2009 #2

   Cyosis

   

   Homework Helper

   Try multiplying by:
   
   [tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

    

   Cyosis, May 6, 2009
4. May 6, 2009 #3

   banana_banana

   

   Will i going to substitute it on the x variable? I don't know where it needs to be multiplied.

    

   banana_banana, May 6, 2009
5. May 6, 2009 #4

   HallsofIvy

   

   Staff Emeritus

   Science Advisor

   "Multiply" doesn't mean substitute!
   
   First form P(x+h) by replacing x with x+ h. Then subtract P(x) from that. That's what "P(x+h)- P(x)" means! Cyanosis is suggesting that you can get the final form you want by multiplying by
   [tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

    

   HallsofIvy, May 6, 2009
6. May 7, 2009 #5

   banana_banana

   

   tnx for the explanation. :)

    

   banana_banana, May 7, 2009

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