anonymous
  • anonymous
Find the number c that satisfies the conclusion of Rolle's Theorem. f(x) = 5 - 8x + 2x^2 [1, 3]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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myininaya
  • myininaya
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
anonymous
  • anonymous
thats it??
anonymous
  • anonymous
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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anonymous
  • anonymous
and what if it doesnt
myininaya
  • myininaya
i assumed that was the case since it said just to look at the conclusion
anonymous
  • anonymous
it does...i was just wondering
myininaya
  • myininaya
but it easy to check to see if it does satisfy the hypothese so why not
anonymous
  • anonymous
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).
myininaya
  • myininaya
right vg
anonymous
  • anonymous
You would roll over to the mean value theorem if f(a) did not equal f(b).
anonymous
  • anonymous
ok i get it! thank u guys! :D
anonymous
  • anonymous
kk
myininaya
  • myininaya
but who needs rolle when u have mean value thm it easier to memorize one thm than two
anonymous
  • anonymous
agreed :)

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