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5. continuity and differentiation — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
${d \over {dx}}\sqrt {{{1 + \cos 2x} \over {1 - \cos 2x}}} = $
  • A
    ${\sec ^2}x$
  • ✓
    $ - {\rm{cose}}{{\rm{c}}^2}x$
  • C
    $2\,{\sec ^2}{x \over 2}$
  • D
    $ - 2{\rm{cose}}{{\rm{c}}^2}{x \over 2}$
✓

Answer

Correct option: B.
$ - {\rm{cose}}{{\rm{c}}^2}x$
b
(b) $\frac{d}{{dx}}\sqrt {\frac{{1 + \cos 2x}}{{1 - \cos 2x}}} = \frac{d}{{dx}}\cot x = - {\rm{cose}}{{\rm{c}}^2}x$.

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