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June 5th, 2011, 11:48 PM   #1
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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(1-5x) 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.
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June 6th, 2011, 02:42 AM   #2
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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 .
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June 6th, 2011, 08:13 PM   #3
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I got dy/dx - xdy/dx = 5(-1 + 5x/(1 - 5x))/(1 - 5x).
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