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Finding the nth derivativeby christen1289
Tags: derivative 
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#1
Sep3007, 05:58 PM

P: 5

1. The problem statement, all variables and given/known data
Find the formula for the nth derivative of the equation f(x)= 1/(1x)^2 2. Relevant equations 3. The attempt at a solution I have no idea how to attempt this problem. I've tried finding derivatives in order to find a pattern but I can't seem to come up with a pattern that would help me to find a formula 


#2
Sep3007, 06:04 PM

HW Helper
P: 1,662

f(x) = (1x)^(2) and use the Chain Rule. What is f'(x)? 


#3
Sep3007, 06:09 PM

P: 5

f'(x)=2(1x)^3



#4
Sep3007, 06:14 PM

P: 980

Finding the nth derivative
Can you write that in terms of the original f? Does that help when you apply the derivatives again?



#5
Sep3007, 06:24 PM

P: 5

By finding up to the fourth derivative I came up with this formula:
nth deriv of f= (n+1)(n!)(1x)^(n+2) 


#6
Sep3007, 06:40 PM

HW Helper
P: 1,662

The one further simplification you can make is that (n+1) · (n!) = (n+1)! 


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