8. The slope of the curve y=x³-3x+1; - infinity < x <infinity is minimum at: A. X= - 1 B. X= 1 C. X=0 D. X= +1,-1 Ans. C Please give explanation???
C is correct
The slope function will be the derivative, which is
#y' = 3x^2 - 3#
The minimum slope will be found by differentiating the slope function and finding the critical points.
#y'' = 6x#
This will have one critical point at
Hopefully this helps!