True or False

$\color{#20A900}\text{True}$ or $\color{#D61F06}\text{False}$ :

$\dfrac{d^3}{dx^3}\left(\dfrac{\log x}{x}\right)=\dfrac{11-6\log x}{x^3}$

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Note: If $\color{#20A900}\text{true}$ then solve this following question:

If $x^{p}y^{q}=(x+y)^{p+q}$ then $\dfrac{dy}{dx}=?$

If $\color{#D61F06}\text{false}$ then solve this following question:

If $x=a\cos^{3} \theta$ and $y=b\sin^{3} \theta$ then $\dfrac{dy}{dx}=?$