展开 (sqrt(4(x+h)-5)-sqrt(4x-5))/h

解答

展开

\frac{4 ( x + h ) - 5 - 4 x - 5}{h}

\frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

求解步骤

\frac{4 ( x + h ) - 5 - 4 x - 5}{h}

乘开

4 (x + h) - 5 : 4 x + 4 h - 5

= \frac{4 x + 4 h - 5 - 4 x - 5}{h}

使用分式法则:

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

\frac{4 x + 4 h - 5 - 4 x - 5}{h} = \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

= \frac{4 x + 4 h - 5}{h} - \frac{4 x - 5}{h}

e x p an d (a + b + c) (d + e)

e x p an d 3.42 e^{-} \cdot 79.7 (1 \cdot sin (225 x) + cos (225 x) \cdot 225 x)

\frac{\partial}{\partial x} ((u (x, t)) (3 x - 2 t))

e x p an d \frac{3 x}{( 2 - x ) ( 4 + x ^{2} )}

e x p an d \frac{( 16 x ^{6} - 9 ) ^{2}}{576 x ^{6}}