LimitsHard

Question

The functions defined by f(x) = max {x2, (x - 1)2, 2x (1 - x)}, 0 ≤ x ≤ 1

Options

A.is differentiable for all xis differentiable for all x
B.is differentiable for all x except at one point
C.is differentiable for all x except at two points
D.is not differentiable at more than two points.

Solution

     
y = f(x) = max {x2, (x - 1)2, 2x(1 - x)}
y = f(x)
Non-differentiable at two points.

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