Find the derivative of \(\frac{1}{x^{11}}.\)

1.	Find the derivative of \(\frac{1}{x^{11}}.\)
Answer» Let, \(y=\frac{1}{x^{11}}\) \(=x^{-11}\) ∴ \(\frac{dy}{dx}=\frac{d}{dx}(x^{-11})\) \(=-11\,x^{-11-1}\) \(=-\frac{11}{x^{12}}\)

Answer»

Let,

\(y=\frac{1}{x^{11}}\)

\(=x^{-11}\)

∴ \(\frac{dy}{dx}=\frac{d}{dx}(x^{-11})\)

\(=-11\,x^{-11-1}\)

\(=-\frac{11}{x^{12}}\)

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