Question

(x^3+1/x^3) ^3 differentiate krna plz solve it​

Answer 1

$\sf \left( { \dfrac{x ^3 + 1}{x^3 }} \right)^3$

By chain rule

$\sf {3\sf \left( { \dfrac{x ^3 + 1}{x^3 }} \right)^2} ~ \sf{{\dfrac{d}{dx}} {\left( { \dfrac{x ^3 + 1}{x^3 }} \right)}}$

$\sf⇒{{\dfrac{d}{dx}} {\left( { \dfrac{x ^3 + 1}{x^3 }} \right)}} = {\sf{{\dfrac{-3}{x^4}}}} \\\\ \sf {⇒3\sf \left( { \dfrac{x ^3 + 1}{x^3 }} \right)^2} \sf\left({\dfrac{-3}{x^4}}\right)$

Simplify

$\sf {3\sf \left( { \dfrac{x ^3 + 1}{x^3 }} \right)^2} \sf\left({\dfrac{-3}{x^4}}\right)$

$\sf={\bold{\dfrac{-9(x^3+1)^2}{x^{10}}}}$