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

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
${{{d^{20}}y} \over {d{x^{20}}}}(2\cos x\cos 3x)$=
  • A
    ${2^{20}}(\cos 2x - {2^{20}}\cos 4x)$
  • ✓
    ${2^{20}}(\cos 2x + {2^{20}}\cos 4x)$
  • C
    ${2^{20}}(\sin 2x + {2^{20}}\sin 4x)$
  • D
    ${2^{20}}(\sin 2x - {2^{20}}\sin 4x)$
✓

Answer

Correct option: B.
${2^{20}}(\cos 2x + {2^{20}}\cos 4x)$
b
(b) $y = \cos 4x + \cos 2x \Rightarrow \frac{{{d^{20}}y}}{{d{x^{20}}}} = {4^{20}}\cos 4x + {2^{20}}\cos 2x$.

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