derivative y= 1/(x^8)

解答

导数

y = \frac{1}{x ^{8}}

- \frac{8}{x ^{9}}

求解步骤

\frac{d}{d x} (\frac{1}{x ^{8}})

使用指数法则:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} (x^{- 8})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 8 x^{- 8 - 1}

化简

- 8 x^{- 8 - 1} : - \frac{8}{x ^{9}}

= - \frac{8}{x ^{9}}

a re a 2 x^{2}, 2 x + 6, 1, 2

sin (2 x) d x + cos (7 y) d y = 0

e x p an d (x^{2} - 3 x + 2) (2 x^{3} + 1)

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