Question: Please show all work. Thank you! The function f(@) - -2x* + 30x- - 144x + 6 has one local minimum and one local maximum.

Please show all work. Thank you!

The function f(@) - -2x* + 30x- - 144x + 6 has one local minimum and one local maximum. This function has a local minimum at C = 4 with value -128 X and a local maximum at @ 6 with value -210
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