derivative of (x^3-x/x)

解答

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

2 x

求解步骤

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

化简

\frac{x ^{3} - x}{x} : x^{2} - 1

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= 2 x - 0

化简

= 2 x

\frac{d}{d x} (\frac{4}{( x ^{3} + 9 ) ^{5}})

\frac{d x}{d t} + 2 t^{5} x^{7} + \frac{x}{t} = 0

n = 0 \sum \infty e^{- 6 n}

s l o p e (7, - 4), (8, 8)

\frac{d}{d x} (\frac{- ln ( 1 + 6 x )}{x})