Find the dervative of y with respect to the given independent variable
y=3log2t
y = 3^(log 2 t)
We can write
y = 3^ ( log t / log 2 ) = 3^ ( ln t / ln 2)
y ' = 3^( ln t / ln 2) * ln (3) * (1) / (t * ln 2) = 3^ ( ln t / ln 2) * (ln 3)/(t ln 2)