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Homework Statement
Homework Equations
Rolle's Theorem:
If f(a)=f(b)=0 then there is at least one a<c<b such that f'(c)=0
The Attempt at a Solution
$$y=2x^33x^212x6~\rightarrow~y'=6x^26x12$$
The function:
y':
How do i know y' isn't 0 somewhere? if it's continuously descending, so i make y''=12x6. it's a straight line, so there are no twist points in y'.
But to know y'' doesn't equal 0 somewhere i take y'''=12
Do i really need to reach y''' in order to answer the question? i think i exaggerate
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