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The derivative of sin ^(5) 3x cos ^(3) ...

The derivative of `sin ^(5) 3x cos ^(3) 2x` w.r.t x is

A

`3 sin ^(4) cos ^(2) 2x (5 cos 2x cos 3x -2 sin 3x sin 2x)`

B

`3 sin ^(4) 3x cos ^(2) 2x ( 5 cos 2x cos 3x +2 sin 3x sin 2x)`

C

`3 cos ^(2) 5x sin 3x ( 5 cos 3x cos 5x +2 sin 5x sin 3x)`

D

`3 cos ^(2) 5x sin 3x ( 5 cos 3x cos 5x-2 sin 5x sin 3x)`

Text Solution

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The correct Answer is:
A
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