Question

Consider the function
f(x) = 2 x^3 - 12 x^2 - 30 x+ 10
on the interval [ -6 , 8 ]. Find the average or mean slope of the function on this interval.

Average slope =


By the Mean Value Theorem, we know there exists at least one c in the open interval ( -6 , 8 ) such that f'( c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below.

List of numbers:

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