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A value of c for which the conclusion of...

A value of c for which the conclusion of Mean Value Theorem holds for the function `f(x) = log_(e )x` on the interval [1, 3] is

A

`log_(e ) 3`

B

`2 log_(3) e `

C

`1//2 log _(e) 3`

D

` log_(3) e `

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The correct Answer is:
B
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AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
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  2. Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable funct...

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

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  4. The value of 'c' in Lagrange's mean value theorem for f(x) = log x on...

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  5. The value of 'c' in Lagrange's mean value theorem for f(x) = x^(3)-2x^...

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  6. The value of theta of mean value theorem for the function f(x) = ax^(2...

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  7. The value of 'c' prescribed by Lagrange's mean value theorem , when f(...

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  8. The value of C in the lagrange's mean value theroem for f(x) = sqrt( x...

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  9. The value of 'theta' of the Lagrange's mean value theorem for f(x) = x...

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  10. The chord joining the points where x=p and x=q on the curve y =a x^(2)...

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  11. Value of 'c' of Lagrange's mean value theorem for f(x) = 2x - x^(2) i...

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  12. If a lt c lt b , and if 1-k(1) lt ln ((b)/(a)) lt k(2) -1 , then ( ...

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  13. If a(1) lt ( 257)^(1//4) -4 lt b (1), then (a(1) , b(1) ) ( a(1) , b(...

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  14. For the function f(x) = (x-1) ( x-2) ( x-3) in [0,4], value of 'c' in ...

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  15. Let f be a function which is continuous and differentiable for all rea...

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  16. The value of c in Lagrange's Mean Value theorem for the function f(x) ...

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  17. The value of 'c' of Lagrange's mean value theorem for f(x) = x^(3) - 5...

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  18. In the mean value theorem, f(b) - f(a) = (b-a) f(c ) , if a= 4, b = 9 ...

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

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  20. If f(x) = x^(n) for 0 lt a lt b and na^(n-1) le (b^(n) - a^(n))/( b-a...

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