Finding the nth derivative of f(x) = x/(x+1)

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In summary, the formula for finding the nth derivative of f(x) = x/(x+1) is n!/(x+1)^(n+1). To find the first derivative, use the power rule and quotient rule: f'(x) = [(x+1)(1) - x(1)]/(x+1)^2. The second derivative is the derivative of the first derivative, f''(x) = -2/(x+1)^3. The nth derivative will have n+1 terms, with the coefficients following the pattern: 1, -2, 6, -24, ... where the coefficient is given by (-1)^(n+1) * n!.
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ttpp1124
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Homework Statement
Finding the nth derivative.
Relevant Equations
n/a
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Did I calculate this properly?
 
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Yes
 

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