d^ 20 y d x^ 20 (2 x 3x)= - Vidyadip

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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