Find slope of f(x)=x^3–2x^2+2x+2 on the interval (–3–1).
−3x3−2x2+3x+1
Find the average slope of this function on the interval (−2,1).
2
By the Mean Value Theorem, we know there exists a c in the open interval (−2,1) such that f′(c) is equal to this mean slope. Find the two values of c in the interval which work, enter the smaller root first