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Symbolic differentiation, integration, series operations,
limits, and transforms

Using Symbolic Math Toolbox™, you can differentiate and integrate symbolic expressions, perform series expansions, find transforms of symbolic expressions, and perform vector calculus operations by using the listed functions.

When modeling your problem, use assumptions to return the right results. See Use Assumptions on Symbolic Variables. To simplify your results, see Simplify Symbolic Expressions.

`diff` |
Differentiate symbolic expression or function |

`functionalDerivative` |
Functional derivative |

`int` |
Definite and indefinite integrals |

`rsums` |
Interactive evaluation of Riemann sums |

`vpaintegral` |
Numerical integration using variable precision |

`curl` |
Curl of vector field |

`divergence` |
Divergence of vector field |

`gradient` |
Gradient vector of scalar function |

`hessian` |
Hessian matrix of scalar function |

`jacobian` |
Jacobian matrix |

`laplacian` |
Laplacian of scalar function |

`potential` |
Potential of vector field |

`vectorPotential` |
Vector potential of vector field |

`limit` |
Compute limit of symbolic expression |

Differentiate symbolic expressions and functions.

Integrate symbolic expressions and functions.

Taylor series expansion of symbolic expressions and functions.

**Fourier Transforms and Inverse**

Fourier and Inverse Fourier transforms of symbolic expressions.

Laplace and Inverse Laplace transforms of symbolic expressions and functions.

Z-Transforms and inverses of symbolic expressions and functions.

Sum symbolic vectors, matrices, or symbolic series.

Pade approximant of symbolic expressions and functions.

Limits of symbolic expressions and functions.

**Find Asymptotes, Critical and Inflection Points**

Find minima, maxima, and asymptotes by using derivatives and limits.

**Functional Derivatives Tutorial**

Find functional derivatives, which are the derivative of a functional with respect to a function.

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