a model used for the yield y of an agricultural crop as a function of the nitrogen level n in the soil (measured in appropriate units) is y = Kn/36 N^2
where k is a positive constant. What nitrogen level gives the best yield?
Step 1
We need maximize Y(N) = kN/36 N^2
for an N ≥ 0
Y'(N) = (36+N^2) ___ - k(N) (___)/(36+N^2)^___