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STD 12 - 5. continuity and differentiation — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 5. continuity and differentiation4 Marks
MCQ
The functions defined by $f(x) = max \{x^2, (x - 1)^2, 2x (1 - x)\}, 0 \le x \le 1$
  • A
    is differentiable for all $x$
  • B
    is differentiable for all $x$ excetp at one point
  • ✓
    is differentiable for all $x$ except at two points
  • D
    is not differentiable at more than two points.
✓

Answer

Correct option: C.
is differentiable for all $x$ except at two points
c

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