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The set of points, where the function is differentiable in:

Mathematics20222 marksMCQ
The set of points, where the function $f(x) = x |x|$ is differentiable in:
  • (a)$(-\infty, \infty)$
  • (b)$(-\infty, 0) \cup (0, \infty)$
  • (c)$(0, \infty)$
  • (d)$[0, \infty)$

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Continuity, Differentiability and Differentiation

From ISC 2022 Specimen Mathematics Paper 1, question 14.