展开-e^x(cos(x)-sin(x))

解答

展开

- e^{x} (cos (x) - sin (x))

- e^{x} cos (x) + e^{x} sin (x)

求解步骤

- e^{x} (cos (x) - sin (x))

使用分配律:

a (b - c) = ab - a c

a = - e^{x}, b = cos (x), c = sin (x)

= - e^{x} cos (x) - (- e^{x}) sin (x)

使用加减运算法则

- (- a) = a

= - e^{x} cos (x) + e^{x} sin (x)

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

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

e x p an d \frac{1}{4 ( 1 - x )}

e x p an d \frac{- s ^{2} + 25}{( s ^{2} + 25 ) ^{2}}

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