Solving an Nth Derivative Problem with f(x)= (3x+7)/(x+2)

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SUMMARY

The discussion focuses on finding the nth derivative of the function f(x) = (3x + 7)/(x + 2). Participants emphasize the importance of calculating the first few derivatives to identify a pattern. The established formula for the nth derivative is given as [((-1)^n)(n!)]/[(x + 2)^(n + 1)]. This approach allows for a systematic method to derive higher-order derivatives from the original function.

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AkshayKG1000
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Hey guys,
I'm fairly new to the topic of nth derivative.
can some one please help me in solving this problem?
f(x)= (3x+7)/(x+2).
it would be a great help.
Thanks
 
Last edited:
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Welcome to physicsforums. You forgot to state what your question is. Are you able to, at least, calculate the first derivative?
 
Last edited:
yeah dude I can find the first derivative ... I need to find the nth derivative directly ... so is there some simplification or formula to find the nth derivative?
 
I recommend taking the first, second, and third derivative.
Perhaps you can post back if you do not see a pattern emerging?
 
Take the first several derivatives to help find a pattern. This is what I found:

the nth derivative is [((-1)^n)(n!)]/[(x+2)^(n+1)
 
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