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Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 2 · Q25

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 10 Jan · Shift 2 · Q25

Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 2 · Q25

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let f : (

-

1, 1)

\to

R be a function defined by f(x) = max

\left\{ { - \left| x \right|, - \sqrt {1 - {x^2}} } \right\}.

If K be the set of all points at which f is not differentiable, then K has exactly -

A
one element
B
three elements
C
five elements
D
two elements

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