(\partial)/(\partial y)((x)(x^2+y^2))

解答

\frac{\partial}{\partial y} ((x) (x^{2} + y^{2}))

2 x y

求解步骤

\frac{\partial}{\partial y} ((x) (x^{2} + y^{2}))

将

x

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (x^{2}) = 0

\frac{\partial}{\partial y} (y^{2}) = 2 y

= x (0 + 2 y)

化简

= 2 x y

e x p an d (e^{3 t} - 1)^{3}

e x p an d (8.35, - 18.93) x (- 18.93, 7.6) x (2.48, - 8.35)

e x p an d \frac{( x ^{3} + x ^{2} + 21 )}{x ( 2 x - 5 ) ^{3} ( x ^{2} + 2 x + 5 ) ^{2}}

e x p an d 3 (x + 3) (x - 3) (x - 5) (x + 1) + 3

e x p an d (f (x) + g (x)) x^{'}