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The number of points at which the functi...

The number of points at which the function,
`f (x)={{:(min {|x|"," x ^(2)}),(min (2x -1"," x^(2)}):}if x in (-oo,1)` otherwise is not differentiable is:

A

0

B

1

C

2

D

More than 2

Text Solution

Verified by Experts

The correct Answer is:
B
plotting graph of required function
zig-zag curve is the min. curve which is asked in the question
thus it appears that there are 2 pts. of non-differentiability
But at x=1 , L.H.D = 2x = 2 and R.H.D = 2
Thus there is only one pt. of non-differentiability
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