展开 d/(dy)((xy^2-1)e^x)-y^2e^x

解答

展开

\frac{d}{d y} ((x y^{2} - 1) e^{x}) - y^{2} e^{x}

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

求解步骤

\frac{d}{d y} ((x y^{2} - 1) e^{x}) - y^{2} e^{x}

乘开

(x y^{2} - 1) e^{x} : e^{x} x y^{2} - e^{x}

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

e x p an d \frac{\partial}{\partial x} (x^{2}) + 2 y + λ (x - 2 y)

e x p an d (- e^{- x} x - e^{- x}) e^{x}

e x p an d f (y) x^{2} + y^{2} - π (10 x + 2 y - 4)

e x p an d e^{2 x} x (- 3 e^{x} x - 7 e^{x})

e x p an d (3, - 1) y (- 5, 4)