derivative of-(81/(x^4))

解答

\frac{d}{d x} (- \frac{81}{x ^{4}})

\frac{324}{x ^{5}}

求解步骤

\frac{d}{d x} (- \frac{81}{x ^{4}})

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= - 81 \frac{d}{d x} (\frac{1}{x ^{4}})

使用指数法则:

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

= - 81 \frac{d}{d x} (x^{- 4})

使用幂法则:

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

= - 81 (- 4 x^{- 4 - 1})

化简

- 81 (- 4 x^{- 4 - 1}) : \frac{324}{x ^{5}}

= \frac{324}{x ^{5}}

\int 1 + 6 x^{\frac{1}{2}} d x

d er i v a t i v e f (x) = x \cdot sin (x)

f^{^{'}} (x) = x^{2} - x

in v erse l a pl a ce 2 + \frac{4 ( s - 4 )}{s ^{2} + 16}

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