展开 (9y^8+2x^7y)dx-(8xy^7+x^8)dy

解答

展开

(9 y^{8} + 2 x^{7} y) d x - (8 x y^{7} + x^{8}) d y

9 y^{8} d x + 2 y x^{7} d x - 8 y^{7} x d y - x^{8} d y

求解步骤

(9 y^{8} + 2 x^{7} y) d x - (8 x y^{7} + x^{8}) d y

= (9 y^{8} + 2 y x^{7}) d x - (8 y^{7} x + x^{8}) d y

乘开

d x (9 y^{8} + 2 x^{7} y) : 9 y^{8} d x + 2 y x^{7} d x

= 9 y^{8} d x + 2 y x^{7} d x - (8 x y^{7} + x^{8}) d y

乘开

- d y (8 x y^{7} + x^{8}) : - 8 y^{7} x d y - x^{8} d y

= 9 y^{8} d x + 2 y x^{7} d x - 8 y^{7} x d y - x^{8} d y

e x p an d sin^{(π \cdot (1 - t))} (x)

e x p an d - 2 ((2 + i) x + (2 - i) y = 2 i)

\frac{d}{d y} ((z) (x^{2} + y^{2} - 2 z^{2} + 12 x - 8 z - 4))

e x p an d (e^{x} + k)^{4}

s im pl i f y 1 + \frac{k}{j w ^{2} ( j w + 3.6 )}