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Calculus question ..chain rule/natural log..?

y=sqrt ln 2x

I know to put it to the 1/2, but what after that and what rules explain the answer?
Got it. Thanks.

The derivative is (1/2)[ ln(2x) ]^(-1/2), times the derivative of ln(2x).

The derivative of ln(2x) is 1 / (2x), times the derivative of 2x, which is 2.

So putting it all together gives you:
(1/2)[ ln(2x) ]^(-1/2) * (1 / (2x)) * 2

You can simplify it from here.

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