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Looks like implicit differentiation, do you know how to approach this problem?

a bit. yes, it is implicit differentiation

Here, most of the work involve chain rule only

differentiate each term d/dx ( ln x ) + d/dx (ln (y)

how can you tell by looking at the equation

Because there's 2 terms together with a power, you'll have to use chain rule

Use chain rule when differentiating in this situation.