consider-the-curve-defined-by-yx38x5yx3-8x5-determine-the-smallest-slope-of-the-

Question

Consider the curve defined by y=x3−8x+5y=$$x^3-8x+5. $$Determine the smallest slope of the curve and the point at which it occurs.

Accepted Answer

Smallest slope: ﻿−8-8−8﻿Location of the smallest slope: ﻿(0,5)\left(0,5\right)(0,5)﻿

Answer

Smallest slope: ﻿−8-8−8﻿Location of the smallest slope: (0,−5)\left(0,-5\right)

Answer

Smallest slope: −4-4Location of the smallest slope: (0,27)\left(0,27\right)

Answer

Smallest slope: ﻿−4-4−4﻿Location of the smallest slope: (0,−27)\left(0,-27\right)

Consider the curve defined by y=x3−8x+5y=x^3-8x+5. Determine the smallest slope of the curve and the point at which it occurs.