derivative of-(300/(x^4))

解答

\frac{d}{d x} (- \frac{300}{x ^{4}})

\frac{1200}{x ^{5}}

求解步骤

\frac{d}{d x} (- \frac{300}{x ^{4}})

将常数提出:

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

= - 300 \frac{d}{d x} (\frac{1}{x ^{4}})

使用指数法则:

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

= - 300 \frac{d}{d x} (x^{- 4})

使用幂法则:

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

= - 300 (- 4 x^{- 4 - 1})

化简

- 300 (- 4 x^{- 4 - 1}) : \frac{1200}{x ^{5}}

= \frac{1200}{x ^{5}}

\int_{1}^{10} \frac{17}{x ^{3}} d x

\int \frac{tan ( ln ( 3 x + 4 ) )}{3 x + 4} d x

\int \frac{1}{cos ^{6} ( x )} d x

d er i v a t i v e 17 - x^{2}

a re a 4 - x^{2}, x = 0