Find the derivative $of$ the function.

$f(x)=4x-7\sqrt[\phantom{2}]{x}+e^{x+2}$

$4-\frac{7}{2\sqrt[\phantom{2}]{x}}+e^{x+2}$

$4-\frac{7\sqrt[\phantom{2}]{x}}{2}+2e^x$

$4-\frac{7}{2\sqrt[\phantom{2}]{x}}+2e^x$

$4-\frac{7\sqrt[\phantom{2}]{x}}{2}+e^{x+2}$