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

Algebra ->  Sequences-and-series -> 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      Log On


   

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(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

    If  f(x) = x%5En%2Fn,  then  f'(x) = x%5E%28n-1%29.


It is the commonly known fact.



See any standard Table for derivatives of functions.