Differentiating $f(x)=10ln(x)+e^x{x}^2$ with respect to $x,$ yields:

$10ln(x)+e^x{x}^2+2e^{x}x$

$10+2e^{x}x$

$\frac{10}{x}+e^x{x}^2+2e^{x}x$

$\frac{10}{x}+2e^{x}x$