derivative (sqrt(3))/(x^9)

解答

导数

\frac{3}{x ^{9}}

- \frac{9 3}{x ^{10}}

求解步骤

\frac{d}{d x} (\frac{3}{x ^{9}})

将常数提出:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{9}})

使用指数法则:

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

= 3 \frac{d}{d x} (x^{- 9})

使用幂法则:

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

= 3 (- 9 x^{- 9 - 1})

化简

3 (- 9 x^{- 9 - 1}) : - \frac{9 3}{x ^{10}}

= - \frac{9 3}{x ^{10}}

x \to \infty lim ((x + 1)^{x + 2})

\frac{d}{d x} (- \frac{81}{( 1 + 9 x ) ^{2}})

a re a y = 5 x^{2}, y = 30 x - 45, [0, 45]

d er i v a t i v e Y = Y = ln (x - 3)

\int sin (2 x) \cdot e^{x} d x