# 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???

##### 1 Answer

Jun 11, 2018

C is correct

#### Explanation:

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

Therefore

Hopefully this helps!