Q.

The derivative of sin3⁡xcos3⁡x is

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a

35sin2⁡2xcos⁡2x

b

34sin2⁡2xcos⁡2x

c

34sin⁡2xcos2⁡2x

d

32sin2⁡2xcos⁡2x

answer is B.

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Detailed Solution

Let, y=sin3⁡xcos3⁡x×88=(sin⁡2x)38dydx=183sin2⁡2xddx(sin⁡2x) =38sin2⁡2x×cos⁡2x(2)=34sin2⁡2xcos⁡2x
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