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

解答

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

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

求解步骤

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

使用连锁律:

- \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

化简

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

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

25 y^{^{''}} + 80 y^{^{'}} + 64 y = 0

\int x^{3} 169 - x^{2} d x

\frac{d}{d x} (\frac{2}{2 x})

\frac{d}{d x} (2 sin (x) - 3)

s l o p e y = \frac{6}{( x - 1 ) ^{2}}, at