x^3+y^3=4

Frequently Asked Questions

• $$\text{求解 }x$$ \(x^3+y^3=4\)

  

  $$x=\sqrt[3]{4-y^3}$$

• $$\text{求解 }y$$ \(x^3+y^3=4\)

  

  $$y=\sqrt[3]{4-x^3}$$

• 测试关于原点的对称性 \(x^3+y^3=4\)

  

  $$\text{Not symmetry with respect to the origin}$$

• 测试关于 x 轴的对称性 \(x^3+y^3=4\)

  

  $$\text{Not symmetry with respect to the x-axis}$$

• 测试关于 y 轴的对称性 \(x^3+y^3=4\)

  

  $$\text{Not symmetry with respect to the y-axis}$$

• 以极坐标形式重写 \(x^3+y^3=4\)

  

  $$r=\frac{\sqrt[3]{4}}{\sqrt[3]{{\cos }^3\left(\theta \right)+{\sin }^3\left(\theta \right)}}$$

• $$\text{求关于 }x\text{ 的导数}$$ \(x^3+y^3=4\)

  

  $$\frac{dy}{dx}=-\frac{x^2}{y^2}$$

• $$\text{求关于 }y\text{ 的导数}$$ \(x^3+y^3=4\)

  

  $$\frac{dx}{dy}=-\frac{y^2}{x^2}$$

• $$\text{求出关于 }x\text{ 的二阶导数}$$ \(x^3+y^3=4\)

  

  $$\frac{d^{2}y}{d{x}^2}=-\frac{2x{y}^3+2x^4}{y^5}$$

• $$\text{求出关于 }y\text{ 的二阶导数}$$ \(x^3+y^3=4\)

  

  $$\frac{d^{2}x}{d{y}^2}=-\frac{2y{x}^3+2y^4}{x^5}$$