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NDA Math Limit, Continuity and Differentiability

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Consider the following for the next three (03) items that follow:
Let f(x)={

−2,	−3≤x≤0
x−2,	0<x≤3

and g(x)=f(|x|)+|f(x)|

[NDA II 2016]

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Question : 61

Total: 105

What is the value of the differential coefficient of g(x) at x=−2?

−1
0
1
2

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