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Limits Continuity and Differentiability question

2019 · 11 Jan · Shift 1 · Q36

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 11 Jan · Shift 1 · Q36

Limits Continuity and Differentiability question

2019 · 11 Jan · Shift 1 · Q36

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f\left( x \right) = \left\{ {\begin{matrix} { - 1} & { - 2 \le x \lt 0} \\ {{x^2} - 1,} & {0 \le x \le 2} \\ \end{matrix} } \right.

and

g(x) = \left| {f\left( x \right)} \right| + f\left( {\left| x \right|} \right).

Then, in the interval (–2, 2), g is :

A
non continuous
B
differentiable at all points
C
not differentiable at two points
D
not differentiable at one point

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