[數學][問題]:微積分證明題..(-_-)..

[數學][問題]:微積分證明題..(-_-)..

YONG 於 星期四 一月 04, 2007 9:44 am


let
 
      f(x)=arctan(a+x/1-ax),x≠1/a.
(a)show that f'(x)=a/(1+xx),x≠1/a.
(b)show that there is no constant C such that f(x)=arctanx+C for all x≠1/a.
(c)Find constants C1 and C2 such that
 
   f(x)=arctanx+C1  for x<1/a
   f(x)=arctanx+C2  for x>1/a.
  
 
 

YONG
訪客
 






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