MCQ
If the function $f(x) = \left\{ \begin{array}{l}
{\tan ^{ - 1}}x;x < 1\\
{\sec ^{ - 1}}x + \lambda ;x \ge 1
\end{array} \right.$ has local minima at $x = 1$, then range of $\lambda$ is-
{\tan ^{ - 1}}x;x < 1\\
{\sec ^{ - 1}}x + \lambda ;x \ge 1
\end{array} \right.$ has local minima at $x = 1$, then range of $\lambda$ is-
- A$\left( {0,\frac{\pi }{4}} \right]$
- B$\left[ {0,\frac{\pi }{4}} \right)$
- C$\left( { - \infty ,\frac{\pi }{4}} \right]$
- ✓$\left( { - \infty ,\frac{\pi }{4}} \right)$
