+0  
 
0
43
1
avatar+28 

Find the derivative of y with respect to the given independent variable 

y= logr . Log 4r  

 May 2, 2020
 #1
avatar+111329 
+1

Note that, using the change-of-base theorem  we can write

 

y =  [ log r / log 2 ]  * [ log r / log 4 ]

 

y  =  ( 1  / [ log 2 *log 4 ])  * [ log r ] ^2       

 

Note  that  ( 1 / [ log 2 * log 4] )  is a constant

Apply the chain rule  to   [ log r ] ^2

Remember  that the derivative  of log r   =  1 / r

 

y ' =   ( 1/ [ log 2 * log 4]  *  2 * [ log r ] *  [ 1/r]        

 

               2  log r

y '  =    _____________

         r [ log 2 * log 4 ]

 

 

 

cool cool cool

 May 2, 2020

12 Online Users

avatar
avatar