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Rolle's theorem can not applicable for...

Rolle's theorem can not applicable for

A

`f(x)=x^3-6x^2+11x=6 "in"[1,3]`

B

`f(x)=sin x "in" [0,pi]`

C

`f(x)=1-(x-1)^(2//3) "in" [0,2]`

D

`f(x)=x^2-3x+2 "in"[1,2]`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1D (MEAN VALUE THEOREMS)
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  2. If 2a+3b+6c=0 , then at least one root of the eqution ax^2+bx+c=0 lies...

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  3. Rolle's theorem can not applicable for

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  4. Rolle's theorem can not applicable for

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  5. The constant c of the Lagrange's mean value theorem for the function f...

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  6. The constant c of Lagrange's theorem for f(x)=x^3-4x^2+4x "in" [0,2] i...

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  7. The constant c of Lagrange's theorem for f(x)=x(x-1)(x-2) "in" [0,1//2...

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  8. The constant c of Lagrange's theorem for f(x)=(x-1)(x-2)(x-3) "in" [0...

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  9. The constant c of Lagrange's theorem for f(x) =x/(x-1) "in" [2,4] is

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  10. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

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  11. A value of c for which the conclusion of Mean value Theorem holds for ...

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  12. The value of c in the Lagrange's mean - value theorem for f(x)=sqrt(x-...

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  13. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  14. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  15. The constant theta of Lagrange's theorem for f(x) =x^2-2x+3 in [1,3/2]...

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  16. Lagrange's theorem can not be applicable for

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  19. The constant c of Cauchy's mean value theorem for f(x) =x^2,g(x)=x^3 "...

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