The functions defined by f(x) = max x^2, (x - 1)^2, 2x (1 - x) , … - Vidyadip

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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