Find the number c that satisfies the conclusion of Rolle's Theorem. f(x) = 5 - 8x + 2x^2 [1, 3]

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Find the number c that satisfies the conclusion of Rolle's Theorem. f(x) = 5 - 8x + 2x^2 [1, 3]

Mathematics
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f'(x)=-8+4x f'(x)=0 imples -8+4x=0 implies 4x=8 so x=2 since x=2 in between 1 and 3 then x=2 is the c that satisfies the conclusion of rolles thm
thats it??
Don't forget, for Rolle's theorem to be applicable, you need to show that f(1)=f(3) (which it does here).

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and what if it doesnt
i assumed that was the case since it said just to look at the conclusion
it does...i was just wondering
but it easy to check to see if it does satisfy the hypothese so why not
Rolle's theorem is dependent upon f real being continuous on a closed interval [a,b], differentiable on the open interval, (a,b), and f(a)=f(b).
right vg
You would roll over to the mean value theorem if f(a) did not equal f(b).
ok i get it! thank u guys! :D
kk
but who needs rolle when u have mean value thm it easier to memorize one thm than two
agreed :)

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