June 5th, 2011, 11:48 PM  #1 
Newbie Joined: Jun 2011 Posts: 1 Thanks: 0  how to treat x d2/dx2
This question is probably really simple, but I just want to clarify how I should be treating this x: if I have y=ln(15x) and I want to find a term for dy/dx  x^2 d2y/dx2... How should I be treating the x^2 wrt finding the term for the derivative? Appreciate any pointers. 
June 6th, 2011, 02:42 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: how to treat x d2/dx2
Since the is outside the derivative just multiply by it after taking the second derivative. You do NOT differentiate the .

June 6th, 2011, 08:13 PM  #3 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
I got dy/dx  x²d²y/dx² = 5(1 + 5x²/(1  5x))/(1  5x).


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