derivative 5/(x^2)

解答

导数

\frac{5}{x ^{2}}

- \frac{10}{x ^{3}}

求解步骤

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

将常数提出:

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

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

使用指数法则:

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

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

使用幂法则:

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

= 5 (- 2 x^{- 2 - 1})

化简

5 (- 2 x^{- 2 - 1}) : - \frac{10}{x ^{3}}

= - \frac{10}{x ^{3}}

\int_{0}^{1.75} 1250 x d x

y^{^{'}} + 3 y = x^{2}

\frac{d}{d x} (\frac{x}{( x + 1 ) ^{2}})

\frac{d y}{d x} + 4 e^{x + y} = 0

a re a y = x^{2} - 9, y = (2 x - 1) (x + 3)