Let $g(x)=4\sqrt[\phantom{2}]{x}-4e^x+10x^3-7x^2+\frac{5}{x^4}.$ Let's find $g^{\text{'}}(x).$ Note that $if$ the expression $\frac{a}{dx}$

$g^{\text{'}}(x)=\frac{d}{dx}(4\sqrt[\phantom{2}]{x}-4e^x+10x^3-7x^2+\frac{5}{x^4})$

$=\frac{d}{dx}()-\frac{d}{dx}()+\frac{d}{dx}()-\frac{d}{dx}()+\frac{d}{dx}()$