derivative (-4)/(x^3)

解答

导数

\frac{- 4}{x ^{3}}

\frac{12}{x ^{4}}

求解步骤

\frac{d}{d x} (\frac{- 4}{x ^{3}})

化简

\frac{- 4}{x ^{3}} : - \frac{4}{x ^{3}}

= \frac{d}{d x} (- \frac{4}{x ^{3}})

将常数提出:

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

= - 4 \frac{d}{d x} (\frac{1}{x ^{3}})

使用指数法则:

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

= - 4 \frac{d}{d x} (x^{- 3})

使用幂法则:

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

= - 4 (- 3 x^{- 3 - 1})

化简

- 4 (- 3 x^{- 3 - 1}) : \frac{12}{x ^{4}}

= \frac{12}{x ^{4}}

d er i v a t i v e y = 2 x^{2} - 5 x

d er i v a t i v e x^{3} + x^{2} + x - 4

d er i v a t i v e - t^{2} + 2 t

s im pl i f y \frac{d}{dd} (785 (d))

d er i v a t i v e 5 x^{2} + 6 x - 1