展开 (-cos(x)-sin(x))(-sin(x)+cos(x)+2)

解答

展开

(- cos (x) - sin (x)) (- sin (x) + cos (x) + 2)

- 2 cos (x) - 2 sin (x) - cos (2 x)

求解步骤

(- cos (x) - sin (x)) (- sin (x) + cos (x) + 2)

打开括号

= - cos (x) (- sin (x)) - cos (x) cos (x) - cos (x) \cdot 2 - sin (x) (- sin (x)) - sin (x) cos (x) - sin (x) \cdot 2

化简

- cos (x) (- sin (x)) - cos (x) cos (x) - cos (x) \cdot 2 - sin (x) (- sin (x)) - sin (x) cos (x) - sin (x) \cdot 2 : - 2 cos (x) - 2 sin (x) - cos (2 x)

= - 2 cos (x) - 2 sin (x) - cos (2 x)

e x p an d (3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) y^{'} (x)

\frac{d ^{2}}{d x ^{2}} ((y) (- 5 x^{2} + 5 x))

e x p an d (6 e - 3 f - 4) 2

e x p an d (4 x y + 2 x sin (y)) d x + (2 x^{2} + x^{2} cos (y)) d y

e x p an d (x - π)^{3}