anonymous
  • anonymous
verify rolle's theorem for f(x)=x(x+3)e^-(x/2)
Mathematics
jamiebookeater
  • jamiebookeater
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JamesJ
  • JamesJ
For example, for x = 0 and x = 3, f(x) = 0. Hence Rolle's Theorem predicts there is a number \[ c \in [0,3] \] such that \( f'(c) = 0 \). To 'verify' Rolle's Theorem, show that this is indeed the case by explicitly finding such a number c.
JamesJ
  • JamesJ
*correction: \( c \in (0,3) \)
anonymous
  • anonymous
is it really ok to suppose the interval on our own becoz it is not given in the questiion

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JamesJ
  • JamesJ
If they don't specify an interval, why not pick your own?
anonymous
  • anonymous
okay

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