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Use logarithmic differention to find the dervative of y with respect to the given independent variable 

Y= (x+1)x 

 May 3, 2020
 #1
avatar+111329 
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y  = (x + 1)^x        take the ln of both sides

 

ln y  =  ln (x + 1)^x

 

ln y  =  x ln (x + 1)       differentiate both sides

 

y' / y  =  ln (x + 1)  + x (1/ (x + 1) )

 

y'  = y [ ln (x + 1)  + x/(x + 1) ]

 

y ' =  (x + 1)^x  [ ln (x + 1)  +  x /(x + 1) ]

 

 

cool cool cool

 May 3, 2020

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