展开 (cos(x)(1-x^2)+2xsin(x))/((1-x^2)^2)

解答

展开

\frac{cos ( x ) ( 1 - x ^{2} ) + 2 x sin ( x )}{( 1 - x ^{2} ) ^{2}}

\frac{cos ( x ) - x ^{2} cos ( x ) + 2 x sin ( x )}{1 - 2 x ^{2} + x ^{4}}

求解步骤

\frac{cos ( x ) ( 1 - x ^{2} ) + 2 x sin ( x )}{( 1 - x ^{2} ) ^{2}}

(1 - x^{2})^{2} = 1 - 2 x^{2} + x^{4}

= \frac{cos ( x ) ( - x ^{2} + 1 ) + 2 x sin ( x )}{1 - 2 x ^{2} + x ^{4}}

乘开

cos (x) (1 - x^{2}) + 2 x sin (x) : cos (x) - x^{2} cos (x) + 2 x sin (x)

= \frac{cos ( x ) - x ^{2} cos ( x ) + 2 x sin ( x )}{1 - 2 x ^{2} + x ^{4}}

e x p an d f (x) ((x) = \frac{4}{7} x - \frac{16}{7})

e x p an d (9 - x) (\frac{2}{3} x + 4)

s im pl i f y (x - 11 - 3) (x - 2) (x - 4) (x - 11 + 3)

e x p an d (2, - 2) (2 x, 3) (4, 3)

e x p an d 1 (4 x + 5 y = 22.25)