Find the derivative of y with respect to the given independent variable
y= log2 r . Log 4r
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 ]