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  • Help me answer: For which of the following functions L.M.V.T is applicable in [1, 2] ?

For which of the following functions L.M.V.T is applicable in [1, 2] ?

  • Option 1)

    \frac{1}{2x-3}

  • Option 2)

    \ln x

  • Option 3)

    \sec x

  • Option 4)

    \tan x

 

Answers (1)

best_answer

As we have learned

Lagrange's mean value theorem -

If  a  function  f(x) 

1.   is continuous in the closed interval [a,b] and 

2.   is differentiable in the open interval [a, b] then 

f'(c)=\frac{f(b)-f(a)}{b-a}\:\:\:\:where\:\:c\epsilon (a,b)

-

 

(A),(C), (D) are discontinous in [1,2] but (B) satisfies all condition of L.M.V.T  

 

 

 

 


Option 1)

\frac{1}{2x-3}

Option 2)

\ln x

Option 3)

\sec x

Option 4)

\tan x

Posted by

Himanshu

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