展开 (sqrt(1-2(x+h))-sqrt(1-2x))/h

解答

展开

\frac{1 - 2 ( x + h ) - 1 - 2 x}{h}

\frac{1 - 2 x - 2 h}{h} - \frac{1 - 2 x}{h}

求解步骤

\frac{1 - 2 ( x + h ) - 1 - 2 x}{h}

乘开

1 - 2 (x + h) : 1 - 2 x - 2 h

= \frac{1 - 2 x - 2 h - - 2 x + 1}{h}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{1 - 2 x - 2 h - 1 - 2 x}{h} = \frac{1 - 2 x - 2 h}{h} - \frac{1 - 2 x}{h}

= \frac{1 - 2 x - 2 h}{h} - \frac{- 2 x + 1}{h}

e x p an d 5 \cdot (2 x + 3) x + 54

s im pl i f y (4 u + v) (4 u - v)

e x p an d 1 + \frac{1}{2} (e^{- \frac{x}{20}} - e^{\frac{x}{20}})

e x p an d \frac{- u - 1}{2 ( u ^{2} - u )}

s im pl i f y - 4 y (x + \frac{( y - z )}{2})