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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
The function $y = a(1 - \cos x)$ is maximum when $x = $
  • ✓
    $\pi $
  • B
    $\pi /2$
  • C
    $ - \pi /2$
  • D
    $ - \pi /6$
✓

Answer

Correct option: A.
$\pi $
a
(a) $y = a\,(1 - \cos x)$==>$y' = a\sin x$

==> $y' = 0 \Rightarrow \sin x = 0$ ==> $x = 0,\,\pi $

Now $y'' = a\cos x$ ==> $y''(0) = a$ and $y''(\pi ) = - a$

Hence $y$ is maximum when $x = \pi $.

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