Quote:

The number of bacteria present in a culture at time $\displaystyle t$ hours

after the beginning of an experiment is denoted by $\displaystyle N.$

The relationship between $\displaystyle N$ and $\displaystyle t$ is modelled by N=10(1+3/2t)*3

(that is 10 multiply 1 plus 3 over 2 t to the power of 3)

At what rate per hour will the number of bacteria be increasing when $\displaystyle t=6$ ?

im assuming the chain rule must be used . . . . Yes!

but i cant find the other differential i need to use. . . . . other differential?