Question

Derivative of ="absmiddle" class="latex-formula">+3÷$\sqrt{x}$

Answer 1

$\frac{ \sqrt{x} +3}{ \sqrt{x} }$=1+$\frac{3}{ \sqrt{x} }$

remember
dy/dx(f(x)/g(x))=((f'(x)g(x)-g'(x)f(x))/(g(x)^2)

dy/dx(1+$\frac{3}{ \sqrt{x} }$)=0+(0-(3/(2$\sqrt{x}$)))/x=(-3/(2$\sqrt{x}$))/x=-3/(2$x\sqrt{x}$)