展开 derivative of (2-xe^x)+2-x

解答

展开

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

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

求解步骤

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

乘开

(2 - x) e^{x} : 2 e^{x} - e^{x} x

= \frac{d}{d x} (- e^{x} x + 2 e^{x}) + 2 - x

e x p an d - 5 (2 x + 2 y = - 20)

e x p an d \frac{x ( x - 3 )}{x - 1}

e x p an d (y = 2, x - 6) (7 x - y = - 12)

e x p an d \frac{( 4 - 2 t ) e ^{- s t}}{s}

e x p an d \frac{1 - cos ( 5 t - 5 )}{( t - 1 ) ^{2}}