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Consider the function g(x) = \ln(x)+x^2. Which of the following options below is correct?
g'(x) = \dfrac{1}{x} + 2x
g'(x) = \dfrac{1}{\ln(x^2)}
g'(x) = \dfrac{1}{\ln(x)} + 2x
g'(x) = \dfrac{1}{x}
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