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Verify LMVT, if f(x)=x^(3)-5x^(2)-3x in ...

Verify LMVT, if `f(x)=x^(3)-5x^(2)-3x` in the interval [a,b], where `a=1` and `b=3`. Find all `c in (1,3)` for which `f'(c )=0`

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The correct Answer is:
`(7)/(3)in(1,3)`
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