derivative-6/(x^4)

解答

导数

- \frac{6}{x ^{4}}

\frac{24}{x ^{5}}

求解步骤

\frac{d}{d x} (- \frac{6}{x ^{4}})

将常数提出:

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

= - 6 \frac{d}{d x} (\frac{1}{x ^{4}})

使用指数法则:

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

= - 6 \frac{d}{d x} (x^{- 4})

使用幂法则:

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

= - 6 (- 4 x^{- 4 - 1})

化简

- 6 (- 4 x^{- 4 - 1}) : \frac{24}{x ^{5}}

= \frac{24}{x ^{5}}

d er i v a t i v e (x + 1)^{2} (x - 4)^{3}

d i s t an ce (- 2, 3), (4, - 1)

mi d p o in t (- 1, - 1), (1, 2)

d er i v a t i v e f (x) = cos (8 0^{\circ})

t an g e n t f (x) = x^{2} + 18 x + 86