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(d^(20)y)/(dx^(20))(2cosxcos3x)i se q u ...

`(d^(20)y)/(dx^(20))(2cosxcos3x)i se q u a lto` `2^(20)(cos2x-2^(20)os3x)` `2^(20)(cos2x+2^(20)cos4x)` `2^(20)(sin2x+2^(20)sin4x)` `2^(20)(sin2x-2^(20)sin4x)`

A

`2^(20)( cos 2x -2^(20) cos 3x)`

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)`

Text Solution

Verified by Experts

`y=2cos x cos 3x = cos 4x +cos 2x`
`therefore" "(d^(20)y)/(dx^(20))=4^(20)cos 4x +2^(20) cos 2x`
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(d^(20))/(dx^(20))(2cosxcos3x) is equal to (a) 2^(20)(cos2x-2^(20)cos3x) (b) 2^(20)(cos2x+2^(20)cos4x) (c) 2^(20)(sin2x+2^(20)sin4x) (d) 2^(20)(sin2x-2^(20)sin4x)

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CENGAGE-DIFFERENTIATION-Exercise (Single)
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  2. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f prime prime(x...

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  3. (d^(20)y)/(dx^(20))(2cosxcos3x)i se q u a lto 2^(20)(cos2x-2^(20)os3x...

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  13. If y=sinx+e^x ,t h e n(d^(2x))/(dy^2)= (-sinx+e^x)^(-1) (sinx-e^x)/(...

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  14. if y= sin mx, them the value of the determinant |{:(y,,y(1),,y(...

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