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