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Question

Let f(x)=2+1,x1x2+2,1<x24x2,x>2 then the number of points where f(x) is non-differentiable, is equal to

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is B 1
f(1)=0 and
f(1+)=2x=2
Hence f(x) is not derivable at x=1

f(2)=2x=4 and
f(2+)=4
Hence f(x) is derivable at x=2

So, f(x) is non-differentiable at only 1 point.

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