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STD 12 - 6. Application of derivatives — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 6. Application of derivatives4 Marks
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$-$
  • A
    $\left( {0,\frac{\pi }{4}} \right]$
  • B
    $\left[ {0,\frac{\pi }{4}} \right)$
  • C
    $\left( { -  \infty ,\frac{\pi }{4}} \right]$
  • D
    $\left( { -  \infty ,\frac{\pi }{4}} \right)$
✓

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