Differentiation Question 366

Question: $ \frac{d^{20}y}{dx^{20}}(2\cos x\cos 3x) $ =

[EAMCET 1994]

Options:

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) $

Show Answer

Answer:

Correct Answer: B

Solution:

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