Question $7(1$ point$)$

Let the function $y=\sqrt[\phantom{2}]{1ln(ln(x))}.$ Determine $\frac{dy}{dx}.$

$\frac{dy}{dx}=\frac{xln(x)}{2\sqrt[\phantom{2}]{1ln(ln(x))}}$

$\frac{dy}{dx}=\frac{\sqrt[\phantom{2}]{1ln(ln(x))}}{2xln(x)}$

$\frac{dy}{dx}=\frac{1}{2\sqrt[\phantom{2}]{1ln(ln(x))}}$

$\frac{dy}{dx}=\frac{1}{2xln(x)\sqrt[\phantom{2}]{1ln(ln(x))}}$