derivative of-c/(x^2)

解答

\frac{d}{d x} (- \frac{c}{x ^{2}})

\frac{2 c}{x ^{3}}

求解步骤

\frac{d}{d x} (- \frac{c}{x ^{2}})

将常数提出:

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

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

使用指数法则:

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

= - c \frac{d}{d x} (x^{- 2})

使用幂法则:

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

= - c (- 2 x^{- 2 - 1})

化简

- c (- 2 x^{- 2 - 1}) : \frac{2 c}{x ^{3}}

= \frac{2 c}{x ^{3}}

t an g e n t \frac{2 x + 1}{x + 2}

l a pl a ce t r an s f or m 3 t^{4} e^{- 2 t}

a re a x^{5}, e^{3} x^{2}

in v erse l a pl a ce \frac{2 s - 3}{s ^{2} + 4}

y^{^{'}} + x y = 1 x y^{3}