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The constant c of Rolle's theorem for th...

The constant c of Rolle's theorem for the function `f(x)=2x^3+x^2-4x-2` in `[-sqrt2,sqrt2]` is

A

0

B

1

C

`1/2`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The constant c of Rolle's theorem for the function f(x)=(x-a)(x-b) in [a,b] is

    A
    `sqrt(ab)`
    B
    `(a+b)/2`
    C
    `(a-b)/2`
    D
    `(b-a)/2`

  • The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0,2pi] is

    A
    `pi//6`
    B
    `pi//3`
    C
    `pi//4`
    D
    `pi//2`

  • The constant c of Rolles Theorem for the function, f(x) = x(x+3)e^(x/2) in [-3,0] is

    A
    -2
    B
    1
    C
    -1
    D
    0

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