Solve the problem.The deflection d (in m) of a diving board x m from the fixed end at the pool side is given by d = kx2(3L - x), where L is the length of the diving board and k is a positive constant. Find the instantaneous rate of change of d with respect to x for x = 1.8 m. Give your answer in terms of k and L.
A. (9.72kL - 5.832k) m/m
B. (5.4kL - 1) m/m
C. (19.44kL - 9.72k) m/m
D. (10.8kL - 9.72k) m/m
Answer: D
Mathematics
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