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Find c of the R olle’s theorem for the f...

Find c of the R olle’s theorem for the functions `f(x)=log(x^(2)+3)/(4x)` in [1,3]

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The correct Answer is:
`c=sqrt(3)`
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AAKASH SERIES-MEAN VALUE THEOREMS-EXERCISE
  1. f(x) - log (x^(2) + 2) - log 3 in [-1, 1]

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  2. The constant c of Rolle's theorem for the function f(x)=2x^3+x^2-4x-2 ...

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  3. Find c of the R olle’s theorem for the functions f(x)=log(x^(2)+3)/(4x...

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  4. The value of 'c' in Lagrange's mean value theorem for f(x) = ( x - a)m...

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  5. If f(x) = x^(3) + bx^(2) + ax satisfies the conditions of Rolle's the...

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  6. If a + b + c = 0, then the equation 3ax^(2) + 2bx + c = 0 has, in the ...

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  7. If 27a+9b+3c+d=0, then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atlea...

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  8. Rolle's theorem cannot be applicable for

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  9. The value of 'c' in Lagrange's thorem for f(x) = lx^(2) + mx + n [l ne...

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  10. If f'(x) = (1)/(1+x^(2)) for all x and f(0) = 0, then:

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

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  12. In [0,1], Lagrange's mean value theorem is not applicable to (a) f(...

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  13. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

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  14. The value of 'a' for which x^(3) -3x +a=0 has two distinct roots in [...

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  15. Let R rarr R be a continuous function define by f(x ) =(1)/(e^(x)+2e) ...

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  16. The real number k for which the equation, 2x^(3)+3x+k=0 has two distin...

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  17. If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = ...

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  18. If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) +...

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  19. Let f(1)= -2 and f'(x ) ge 4.2 for 1 le x le 6 . The possible value o...

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

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