Textbook ExpertVerified Tutor
8 Nov 2021
Given information
Given that be the area of a tissue culture and be the final area of the tissue, and the rate of growth of the area is jointly proportional to and .
Step-by-step explanation
Step 1.
It is given that the rate of growth of the area is jointly proportional to and .
So, we have
Here, is the proportionality constant.
We can say that the tissue will grow the fastest when is the maximum.
To find that, we will need to differentiate .