展开 y derivative of (y(x+3)(y^2+3))

解答

展开

y \frac{d}{d x} ((y) (x + 3) (y^{2} + 3))

y \frac{d}{d x} (x y^{3} + 3 x y + 3 y^{3} + 9 y)

求解步骤

y \frac{d}{d x} ((y) (x + 3) (y^{2} + 3))

去除括号:

(a) = a

= y \frac{d}{d x} (y (x + 3) (y^{2} + 3))

乘开

y (x + 3) (y^{2} + 3) : x y^{3} + 3 x y + 3 y^{3} + 9 y

= y \frac{d}{d x} (x y^{3} + 3 x y + 3 y^{3} + 9 y)

e x p an d f (x, y) (x^{2} - 3 y) (x - 2)

e x p an d 6 a^{2} + 11 a + 3 a^{2}

e x p an d (1 + e^{2 x})^{4} (2)

e x p an d \frac{( 2 x - 1 ) ( 4 x ^{2} + 2 x + 1 )}{8}

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