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Find local minimum value of the function...

Find local minimum value of the function f given by `f(x)=3+|x|,x in R`.

A

`-1`

B

3

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x)=3+|x|={(3+x, x ge0),(3-x,x lt0):}`
`:.f'(x)={(1,xgt0),(-1,xlt0):}`
Hence, the local minimum value of `f'(x)` is `-1`.
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