Let f(x)= array ll -1, & -2 x<0 x^ 2 -1, & 0 x 2 array . and g(x) = |f(x)| + f(|x|)…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=\left\{\begin{array}{ll}
-1, & -2 \leq x<0 \\
x^{2}-1, & 0 \leq x \leq 2
\end{array}\right.\) and g(x) = |f(x)| + f(|x|). Then, in the interval (-2, 2), g is:
- non continous
- differentiable at all points
- not differentiable at two points
- not differentiable at one point
Answer
(D) not differentiable at one point
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