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Question

The derivative of the function f(x)=x22x+1 in the interval [0,2] is

A
1
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B
1
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C
0
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D
does not exist
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Solution

The correct option is C does not exist
f(x)=x22x+1, can be written as f(x)=|x1|
f(x)={1x;0x<1x1;1x2
f(x)={1;0x<11;1<x2
f(1)f(1+)
Derivative of f(x) does not exist at x=1 in interval [0,2].

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