Hello, Yesme!

I assume the function is: .The number of bacteria present in a culture at time hours

after the beginning of an experiment is denoted by

The relationship between and 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 ?

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

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

Then: .

Now substitute