Jsmooth7009 Jsmooth7009
  • 25-05-2023
  • Mathematics
contestada

Consider the function f(x) = 6 - 7x² on the interval [ - 4, 3]. Find the average or mean slope of the function on this interval, i.e. ƒ(3) – f(− 4) / 3 − ( − 4)
By the Mean Value Theorem, we know there exists a c in the open interval ( – 4, 3) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

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