LaTeX - Signs For Differentials And Derivatives

Signs for Differentials And Derivatives are commonly used in daily work, so I put them together as follows

• Differential / Derivative 1: \partial x

  $ \frac{\partial f}{\partial x} $  % first order
  $ \frac{\partial ^{n} f}{\partial x^{n}} $  % nth order  

  $$\frac{\partial f}{\partial x} \quad \frac{\partial ^{n} f}{\partial x^{n}}$$

• Differential / Derivative 2: \mathrm{d} x

  $ \frac{\mathrm{d} y }{\mathrm{d} x} $  % first order
  $ \frac{\mathrm{d}^{n} y }{\mathrm{d} x^{n}} $  % nth order

  $$\frac{\mathrm{d} y }{\mathrm{d} x} \quad \frac{\mathrm{d}^{n} y }{\mathrm{d} x^{n}}$$

• Differential / Derivative 3: x^{‘}

  $ \frac{ y^{'} }{ x^{'} } $

  $$\frac{ y^{'} }{ x^{'} }$$

• Differential / Derivative 4: \dot x, and \dot y

  $ \frac{ \dot y }{ \dot x } $  % one d = one dot
  $ \frac{ \ddot y }{ \ddot x } $  % two d = two dots
  $ \frac{ \dddot y }{ \dddot x } $  % three d = three dots

  $$\frac{ \dot y }{ \dot x } \quad \frac{ \ddot y }{ \ddot x } \quad \frac{ \dddot y }{ \dddot x }$$

• Total differential operator: \nabla f

  $ \nabla f $

  $$\nabla f$$