The formula for the growth rate of a population in the presence of a quantity x of
Question:
The formula for the growth rate of a population in the presence of a quantity x of food was given as
This was referred to as Michaelis-Menten kinetics.
(a) Find the rate of change of the growth rate with respect to the amount of food.
(b) The quantity A in the formula for ƒ(x) represents the quantity of food for which the growth rate is half of its maximum. Using your answer from part (a), find the rate of change of the growth rate when x = A.
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