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Drupady [299]
3 years ago
9

F(x) = x4/5(x − 6)2 find the critical numbers of the function

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0
You can find the critical numbers by finding the derivative of the function and solving for 0.

F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)

Taking the derivative:
F'(x) =  (8/5)(2x - 6)
F'(x) = 0 at x = 3, 

critical number = 3
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