Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
2 answers:
Answer:
9
Step-by-step explanation:
Answer:

Step-by-step explanation:
From the question we are told that:
Function given

Co-ordinates
(x,y)=[1, 4]
Generally the second differentiation of function is mathematically given by

Therefore critical point

Generally the substitutions of co-ordinate into function is mathematically given by
For 1

For 4

For critical point 3

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

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