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Verify Mean Value Theorem, if f(x)=x^3-5...

Verify Mean Value Theorem, if `f(x)=x^3-5x^2-3x`in the interval [a, b], where `a = 1 a n d b = 3`. Find all `c in (1, 3)`for which `f^(prime)(c)=0`.

Text Solution

Verified by Experts

The correct Answer is:
MVT is verified for f(x) in [1,3]
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Verify mean value Theorem if f(x)=x^(3)-5x^(2)-3x in the interval [1, 3].

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Knowledge Check

  • The value of 'c' in Rolle's theorem for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is :

    A
    1
    B
    `-1`
    C
    `(3)/(2)`
    D
    `(1)/(3)`

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