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