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LMVT is not applicable for which of the ...

LMVT is not applicable for which of the following ?

A

`f(x)=x^(2), x in [3, 4]`

B

`f(x)= ln x, x in [1, 3]`

C

`f(x)=4x^(2)-5x^(2)+x-2, x in [0,1]`

D

`f(x)={x^(4)(x-1)}^(1//5), x in [- 1/2 , 1/2]`

Text Solution

Verified by Experts

The correct Answer is:
D
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Statement 1: For the function f(x)=x^(2)+3x+2,LMVT is applicable in [1,2] and the value of c is 3/2. Statement 2: If LMVT is known to be applicable for any quadratic polynomial in [a,b], then c of LMVT is (a+b)/(2) .