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Verify Lagrange's mean value theorem for...

Verify Lagrange's mean value theorem for the following functions
`f(x) = (x - 1)^(2//3)` in the interval `[1,2]`

A

`f(x)={{:((1)/(2)-x",",x lt(1)/(2)),(((1)/(2)-x)^(2)",",xge(1)/(2)):}`

B

`f(x)={((sinx)/(x)",", x ne0),(1",",x=0):}`

C

`f(x)=x|x|`

D

`f(x)=|x|`

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