Eric Nicholas K's answer to Yutong's Secondary 4 E Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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Something like this is good.

Since the question gives x > 0, my method would be good.

However, if x is not given to be more than zero, there is a slight pitfall with my method since the splitting of the ln renders all values of x <= 0 inadmissible, something which is not seen when the expression is directly differentiated without the splitting of the ln.