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Please help me with this MATH question!?
The range on which h(x)= 2x^3−12x^2+0x−2 is increasing is:
Options:
a) 0<x<4
b) −6<x<−2
c) −∞<x<0 and 4<x<∞
1 Answer
Relevance
- Iggy RockoLv 78 years agoFavorite Answer
h '(x) = 6x^2 - 24x
0 = 6x^2 - 24x
0 = x^2 - 4x
0 = x(x - 4)
x = 0 or x = 4
h ''(x) = 12x - 24
h ''(0) = -24 < 0 so a local maximum occurs at x = 0.
h ''(4) = 24 > 0 so a local minimum occurs at x = 4.
Answer is (c).
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