The lecture is 40-50 minutes long delivered by Professor David Jerison and covers differentiation of hyperbolic functions. It is aimed at undergraduate students.

These lectures will give you some idea of how this subject is treated at university level.

## Software/Applets used on this page

Free lecture notes, exams, and videos are available from Massachusetts Institute of Technology at MIT. No registration required.

## Glossary

### differentiation

The process of finding a derivative.

### hyperbolic

a function defined using the exponential function, for example the hyperbolic sine , or sinh, function is (e

^{x}- e^{-x/})/2 and the hyperbolic cos, or cosh function is (e^{x}+ e^{-x/})/2## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | FP2 | Differentiation | XTRA | - |

AQA A2 Further Maths 2017 | Pure Maths | Hyperbolic Functions | Differentiate Hyperbolic Functions | - |

AQA AS/A2 Further Maths 2017 | Pure Maths | Hyperbolic Functions | Differentiate Hyperbolic Functions | - |

CCEA A-Level (NI) | FP3 | Differentiation | XTRA | - |

Edexcel A-Level (UK - Pre-2017) | FP3 | Differentiation | XTRA | - |

Edexcel A2 Further Maths 2017 | Core Pure Maths | Extra | Diff of Hyperbolic Functions - Extra | - |

Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Extra | Diff of Hyperbolic Functions - Extra | - |

Methods (UK) | M8 | Differentiation | XTRA | - |

OCR A-Level (UK - Pre-2017) | FP2 | Differentiation | XTRA | - |

OCR A2 Further Maths 2017 | Pure Core | Hyperbolic Functions | Differentiate Hyperbolic Functions | - |

OCR MEI A2 Further Maths 2017 | Core Pure B | Hyperbolic Functions | Differentiate Hyperbolic Functions | - |

OCR-MEI A-Level (UK - Pre-2017) | FP2 | Differentiation | XTRA | - |

Universal (all site questions) | D | Differentiation | XTRA | - |

WJEC A-Level (Wales) | FP3 | Differentiation | XTRA | - |