Mean Value Theorem

Question

Consider the function f(x) = 3 - 7x^2 on the interval [3,5]. Find the average or mean slope of the function on this interval, i.e.

(f(5)-f(-3)) / (5-(-3)) =

By the Mean Value Theorem, we know there exists a c in the open interval (-3, 5) such as that f'(c) is equal to this mean slope. For this problem, there is only one c that works... find it

c =

Answer 1