展开 dx[sqrt(x)(5x^4-7x^2-3)]

解答

展开

d x [x (5 x^{4} - 7 x^{2} - 3)]

5 x^{4} x d x - 7 x^{2} x d x - 3 x d x

求解步骤

d x (x (5 x^{4} - 7 x^{2} - 3))

去除括号:

(a) = a

= d x x (5 x^{4} - 7 x^{2} - 3)

= x d x (5 x^{4} - 7 x^{2} - 3)

打开括号

= d x x \cdot 5 x^{4} + d x x (- 7 x^{2}) + d x x (- 3)

使用加减运算法则

+ (- a) = - a

= 5 x^{4} x d x - 7 x^{2} x d x - 3 x d x

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

e x p an d (y + 1) e^{x}

e x p an d (2 x + \frac{1}{3 x})^{18}

e x p an d x^{2} (ln (x + 2) - 1) d x

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