How to solve this derivative.

f(x)={ln(3x)}^2x
with steps...

Rewrite f(x) as a nested exponential-logarithm expression :

(where )

One of the properties of logarithms lets us drop the exponent as a coefficient:

Now, by the chain rule, we have

By the product rule,

By the chain rule again,

Then simplify this to

the first dot plot best represents the data

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