SOLUTION: The function f(x) = x^n/n where n is set of all positive integers and x belongs to open intervak (-1, 1). What is the value of f'(x)? [Note: Here f'(x) means derivative of functio

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Question 1172397: The function f(x) = x^n/n where n is set of all positive integers and x belongs to open intervak (-1, 1). What is the value of f'(x)?
[Note: Here f'(x) means derivative of function]

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

    If  f(x) = ,  then  f'(x) = .


It is the commonly known fact.



See any standard Table for derivatives of functions.



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