2021-013

Choose the option that contains the derivative of \( f(x) = g(x) h(x) \), where \( g(x) = x^3 \) and \( h(x) = (1 + \ln x)^2 \).

1. \( 3x^2 + 2(1 + \ln x)/x \)
2. \( x^2 (1 + \ln x) (5 + \ln x) \)
3. \( x^2 (1 + \ln x) (5 + 3 \ln x) \)
4. \( x^2 (1 + \ln x) (3 + 3 \ln x + 2x) \)
5. None of the above

Original idea by: Maria Tejada Begazo