Please show all work 32t/t Solution Take ln of both sides: + 1.law of ln division can be seperated into subtraction 2.ln(f(t)) = ln(3)2t - ln (t) 3. ln(f(t)) = 2t *ln (3) - ln(t) 3. Take derivitave of both sides implicitly: f(t)\'/f(t) = 2*ln(3) - 1/t f(t)\' = f(t) * (2*ln(3)) - 1/t) f(t)\' = (32t / t )( 2*ln(3) - 1/t).