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Differentiate k(y) = (2y^4 + ln(4y))^5 sin(2y) I have an answer I've worked out myself, but it's very long-winded and I'm not sure if it's

Differentiate k(y) = (2y^4 + ln(4y))^5 sin(2y)

I have an answer I've worked out myself, but it's very long-winded and I'm not sure if it's correct. If you could please help me by breaking down the steps, I would really appreciate it

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