Eric Nicholas K's answer to New Zealand's High School Malaysia question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
First step is to split the ln term into a difference of two ln terms for easy differentiation later.

Remember to use the chain rule as you differentiate the ln terms.

There is no need to simplify until my final answer if the question does not require you to do so, since simplification requires combining the terms into a single fraction and using several trigonometric identities.