Question

How do I solve the y= x/11- 11x d/dx ( x/11- 11/x)

Answer 1

$\bf \cfrac{d}{dx}\left[ \cfrac{x}{11}-\cfrac{11}{x} \right]\implies \cfrac{d}{dx}\left[ \cfrac{x}{11} \right]-\cfrac{d}{dx}\left[\cfrac{11}{x} \right] \\\\\\ \cfrac{1}{11}\cdot \cfrac{d}{dx}\left[x \right]-11\cdot \cfrac{d}{dx}\left[\cfrac{1}{x} \right] \implies \cfrac{1}{11}\cdot 1~~-~~11\cdot \cfrac{d}{dx}[x^{-1}] \\\\\\ \cfrac{1}{11}~~-~~11\cdot -x^{-2}\implies \cfrac{1}{11}+\cfrac{11}{x^2} \implies \cfrac{x^2+121}{11x^2}$