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人気のある微分積分 >

(\partial ^2)/(\partial x\partial y)(xy^2-6x^2-3y^2)

解

\frac{\partial ^{2}}{\partial x \partial y} (x y^{2} - 6 x^{2} - 3 y^{2})

解

2 y

解答ステップ

\frac{\partial ^{2}}{\partial x \partial y} (x y^{2} - 6 x^{2} - 3 y^{2})

\frac{\partial}{\partial x} (x y^{2} - 6 x^{2} - 3 y^{2}) = y^{2} - 12 x

= \frac{\partial}{\partial y} (y^{2} - 12 x)

\frac{\partial}{\partial y} (y^{2} - 12 x) = 2 y

= 2 y

人気の例

slopeintercept (7.4)(3.8)

s l o p e in t erce pt (7.4) (3.8)

derivative sqrt(x^2+6x-1)

d er i v a t i v e x^{2} + 6 x - 1

integral of-2x^4tan(x^5)

\int - 2 x^{4} tan (x^{5}) d x

(\partial)/(\partial y)(4x^3y^2+2)

\frac{\partial}{\partial y} (4 x^{3} y^{2} + 2)

x^2y^{''}+xy^'-9y=x^3+1

x^{2} y^{^{''}} + x y^{^{'}} - 9 y = x^{3} + 1