Answer:
A nitrogen level of 1 gives the best yield.
Step-by-step explanation:
We are given the following:
Yield Y of an agricultural crop as a function of the nitrogen level N in the soil
First, we differentiate Y(N) with respect to N, to get,
Equating the first derivative to zero, we get,
Solving, we get,
Again differentiation Y(N), with respect to N, we get,
At N = 1
Thus, by double derivative test, the maximum value of Y(N) occurs at N = 1.
Thus, largest yield of crop is given by:
Y(1) =