(\partial)/(\partial x)(4x^{-1})

解答

\frac{\partial}{\partial x} (4 x^{- 1})

- \frac{4}{x ^{2}}

求解步骤

\frac{\partial}{\partial x} (4 x^{- 1})

将常数提出:

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

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

使用幂法则:

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

= 4 (- 1 \cdot x^{- 1 - 1})

化简

4 (- 1 \cdot x^{- 1 - 1}) : - \frac{4}{x ^{2}}

= - \frac{4}{x ^{2}}

t an g e n t f (x) = x^{2} + 6 x, at a = 3

x \to 2 lim (3 x - 2)

d er i v a t i v e \frac{x ^{2}}{8 + x}

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