Science:Math Exam Resources/Courses/MATH102/December 2019/Question 08(a)
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Hint 

Science:Math Exam Resources/Courses/MATH102/December 2019/Question 08(a)/Hint 1 
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Solution 

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The zeros of the functions are given by N = 0, 1, 2. The first derivative of the function is thus the critical points are given by
Since the derivative is a downward quadratic it's easy to observe that is minimum , while is maximum. The second derivative is given by and indeed since it's a linear function we must have a point of inflection at N = 1. 