derivative-7/x

解答

导数

- \frac{7}{x}

\frac{7}{x ^{2}}

求解步骤

\frac{d}{d x} (- \frac{7}{x})

将常数提出:

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

= - 7 \frac{d}{d x} (\frac{1}{x})

使用指数法则:

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

= - 7 \frac{d}{d x} (x^{- 1})

使用幂法则:

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

= - 7 (- 1 \cdot x^{- 1 - 1})

化简

- 7 (- 1 \cdot x^{- 1 - 1}) : \frac{7}{x ^{2}}

= \frac{7}{x ^{2}}

\frac{d}{d x} (\frac{sin ( x )}{x + 1})

l a pl a ce t r an s f or m 3 \cdot (5 e^{- 5.06 s}) + 3 \cdot (2.26 \cdot 5 e^{- 5.06 s})

\int \frac{( 9 4 - x ^{2} )}{2} d x

\frac{\partial}{\partial x} (sin (2 x + y))

\frac{d}{d x} (- (x - 3)^{2})