derivative of (-2+x^2^{-1})

해법

\frac{d}{d x} ((- 2 + x^{2})^{- 1})

- \frac{2 x}{( - 2 + x ^{2} ) ^{2}}

솔루션 단계

\frac{d}{d x} ((- 2 + x^{2})^{- 1})

체인 규칙 적용:

- \frac{1}{( - 2 + x ^{2} ) ^{2}} \frac{d}{d x} (- 2 + x^{2})

= - \frac{1}{( - 2 + x ^{2} ) ^{2}} \frac{d}{d x} (- 2 + x^{2})

\frac{d}{d x} (- 2 + x^{2}) = 2 x

= - \frac{1}{( - 2 + x ^{2} ) ^{2}} \cdot 2 x

- \frac{1}{( - 2 + x ^{2} ) ^{2}} \cdot 2 x

간소화하다 :

- \frac{2 x}{( - 2 + x ^{2} ) ^{2}}

= - \frac{2 x}{( - 2 + x ^{2} ) ^{2}}