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Given that g is the inverse function of f, and f(3)=4, and f'(3)=5, then g'(4) = 

 

  • -1/5
  • 3/5
  • 1/5
  • 1/4
Guest May 24, 2017
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1+0 Answers

 #1
avatar+77068 
+1

 

The derivative of the inverse function is given by :

 

g'(x)  =   1 / [ f ' (g (x) ) ]

 

Note that  ( 3, 4)  is on  " f " so   (4, 3)  is on   " g "    so.....g (4)  = 3

 

So

 

g ' ( 4)  =  1 / [ f ' ( g (4) ) ]  =   1 / [ f ' (3) ]  =   1 / [ 5 ]   =   1 / 5 

 

 

 

cool cool cool

CPhill  May 24, 2017
edited by CPhill  May 24, 2017

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