derivative of cx^{-4}

解答

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

- \frac{4 c}{x ^{5}}

求解步骤

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

将常数提出:

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

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

使用幂法则:

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

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

化简

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

= - \frac{4 c}{x ^{5}}

n = 1 \sum \infty 3 (5)^{- n}

x \to 0 lim (9 x - 8 x)

\int_{0}^{\frac{1}{4}} arcsin (2 x) d x

\frac{d}{d x} (\frac{5 x}{x ^{2} - 1})

d er i v a t i v e y = cos^{4} (x)