展开 (f(x+h)-8x+2)/h

解答

展开

\frac{f ( x + h ) - 8 x + 2}{h}

\frac{f x}{h} + f - \frac{8 x}{h} + \frac{2}{h}

求解步骤

\frac{f ( x + h ) - 8 x + 2}{h}

乘开

f (x + h) - 8 x + 2 : f x + f h - 8 x + 2

= \frac{f x + f h - 8 x + 2}{h}

使用分式法则:

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

\frac{f x + f h - 8 x + 2}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{8 x}{h} + \frac{2}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{8 x}{h} + \frac{2}{h}

消掉

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{8 x}{h} + \frac{2}{h}

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

e x p an d - \frac{( 3 \cdot F \cdot ( a \cdot x ^{n} + α \cdot n - α ) )}{( 5 \cdot x ^{n} )}

e x p an d \frac{15 s}{( s ^{2} + 25 ) ^{2}}

e x p an d \frac{1}{( s - 3 ) ( s ^{2} + 9 )}

e x p an d \frac{- 15 - 2 h}{3 ( 2 + k )}