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

y=log2 ( 8tln2 )

 May 3, 2020
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"Find the dervative of y with respect to the given independent variable y=log2 ( 8tln2 )"

 

Using the properties of logarithms:

y = log2(8) + log2(tln2)

 

y =  log2(8) + ln(2)*log2(t)

 

y = log2(8) + ln(2)*ln(t)/ln(2)

 

y = log2(8) + ln(t)

 

Now differentiate y wrt t:

dy/dt = 1/t

 May 3, 2020

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