MCQ
Let a function $f(x)$ be defined as
$\begin{gathered}
f\left( x \right) = \left[ \begin{gathered}
{\cos ^{ - 1}}\left( \mu \right) + {x^2},0 < x < 1 \hfill \\
4x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,x \geqslant 1 \hfill \\
\end{gathered} \right.,f\left( x \right) \hfill \\
\hfill \\ \end{gathered}$ can have a local minimum at $x =$ $1$, if the value of $\mu$ lies in the interval
- ✓$\left[ { - 1,\cos 3} \right]$
- B$\left( {\cos 3,1} \right]$
- C$\left( {\cos 3,\cos 1} \right)$
- D$\left( {\cos 3,\cos 2} \right)$