JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation by Substitution

  • question_answer
     \[\frac{{{d}^{20}}y}{d{{x}^{20}}}(2\cos x\cos 3x)\]=                                        [EAMCET 1994]

    A)            \[{{2}^{20}}(\cos 2x-{{2}^{20}}\cos 4x)\]

    B)            \[{{2}^{20}}(\cos 2x+{{2}^{20}}\cos 4x)\]

    C)            \[{{2}^{20}}(\sin 2x+{{2}^{20}}\sin 4x)\]

    D)            \[{{2}^{20}}(\sin 2x-{{2}^{20}}\sin 4x)\]

    Correct Answer: B

    Solution :

               \[y=\cos 4x+\cos 2x\Rightarrow \frac{{{d}^{20}}y}{d{{x}^{20}}}={{4}^{20}}\cos 4x+{{2}^{20}}\cos 2x\].


You need to login to perform this action.
You will be redirected in 3 sec spinner