"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