second derivative of x^2*ln(2x)

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second derivative of x^2*ln(2x),

This problem is from Single Variable Calculus, by James Stewart,

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The derivative of log(ax) is always equal to 1/x, despite the value of the constant a. That is because the logarithm of a product is the sum of the logarithms of the two factors, log(ax) = log(x) + log(a). "a" is a constant, so log(a) is also constant. Therefore it doesn't affect the derivative.

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My professor needs to step up their game

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