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The value of c in Largrange's theorem fo...

The value of c in Largrange's theorem for the function `f(x)= log_(e) sin x` in the interval `[ pi//6,5pi//6]` is

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(2pi)/(3)`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-MEAN VALUE THEOREMS-Exercise
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  3. The equation x log x = 3-x has, in the interval (1,3) :

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  8. n is a positive integer. If the value of c presecribed in Rolle's th...

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  10. The number of real root of the equation e^(x-1)+x-2=0, is

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  11. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

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  12. If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one rea...

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  13. For the function f(x) = x + 1/x, x in [1,3] , the value of c for me...

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  14. If from Largrange's mean value theorem, we have f(x'(1))=(f'(b)-f(a))...

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  15. Rolle's theorem is applicable in case of phi(x) = a^sin x,a>0 in

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  16. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

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  17. When the tangent the curve y=x log (x) is parallel to the chord joinin...

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  18. The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x...

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  19. The value of c in Largrange's mean value theorem for the function f(...

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  20. The value of c in Rolle's theorem for the function f(x) = x^(3) - 3...

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