1.

Write the value of thederivative of `f(x)=|x-1|+|x-3|`at `x=2`.A. 2B. 1C. 0D. `-2`

Answer» Correct Answer - C
Let `f(x) = |x-1| +|x-3|`
`={{:(,x-1+x-3, x ge 3),(,x-1+3-x, 1 le x lt 3),(,1-x+3-x, x le 1):}`
`{{:(,2x -4, x ge 3),(,2,1le xle3),(,4-2x, x lt 1):}`
At x = 2 funtion is
`f(x) = 2`
`rArr f(x) = 0`


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