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

1 answer:

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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