Further Exercises 7.? 1. Find and classify the critical points of the following functions: a) f(X) = X2 + 10 6X X 2 + 36 _ 6 c) f(X) _ x2 + 17 d) f(X) = 3X4 4X3 36X2 + 60 b) RX) = 2. Bonnacons grow at a rate g(t) = 3:3 3t2 t + 4, where t is the time since the bonnacon's birth. At what value of t is the bonnacon's growth rate minimized, and what is its value at that minimum? 3. For infants younger than nine months, the relationship between weight W (in pounds) and the rate of growth (in pounds/month) is approximately dW for some constant c. At what weight is the infant growing fastest