QJEEM19Ma4a35: JEE Main 2019 Mathematics - Class 12 JEEM19Ma4a35 Solution: Let f : ( 1, 1) R be a function defined by f(x) = max If K be…

Question

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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 -

Accepted Answer

f : (

-

1, 1)

\to

R

f(x) = max {

-

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

}

Non-derivable at 3 points in (

-

1, 1)

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