Use Quotient Rule

Differentiate the variables separately before inserting into the rule, there is less chance of making mistakes.

Multiply both the numerator and denominator by x to get rid of the x in 2/x.

Factorize out 2 and divide it against the 2 in the denominator.

Using Laws of Logarithm, the cos 2x in the expression cos 2x ln x will be raised to be the power of lnx.

Additional Math – Differentiation – Sin 2x and 2 lnx. Additional Math Tuition. Woodlands, Choa Chu Kang, Yew Tee, Sembawang and Johor Bahru

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