This lecture from M.I.T. is 40-50 minutes long delivered by Professor David Jerison and covers the chain rule and higher derivatives. 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

### chain rule

A rule for differentiating a function of a function:

dy/dx = dy/du x du/dx.

dy/dx = dy/du x du/dx.

### rule

A method for connecting one value with another.

## This question appears in the following syllabi:

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

AP Calculus AB (USA) | 3 | Differentiation | XTRA | - |

AP Calculus BC (USA) | 3 | Differentiation | XTRA | - |

AQA A-Level (UK - Pre-2017) | C3 | Differentiation | XTRA | - |

AQA A2 Maths 2017 | Pure Maths | Differentiation | Extra | - |

AQA AS/A2 Maths 2017 | Pure Maths | Differentiation | Extra | - |

CCEA A-Level (NI) | C3 | Differentiation | XTRA | - |

CIE A-Level (UK) | P2 | Differentiation | XTRA | - |

Edexcel A-Level (UK - Pre-2017) | C3 | Differentiation | XTRA | - |

Edexcel A2 Maths 2017 | Pure Maths | Differentiation | Extra | - |

Edexcel AS/A2 Maths 2017 | Pure Maths | Differentiation | Extra | - |

I.B. Higher Level | 6 | Differentiation | XTRA | - |

I.B. Standard Level | 6 | Differentiation | XTRA | - |

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

OCR A-Level (UK - Pre-2017) | C3 | Differentiation | XTRA | - |

OCR A2 Maths 2017 | Pure Maths | Differentiation Techniques | Extra | - |

OCR MEI A2 Maths 2017 | Pure Maths | Differentiation Techniques | Extra | - |

OCR-MEI A-Level (UK - Pre-2017) | C3 | Differentiation | XTRA | - |

Pre-U A-Level (UK) | 4 | Differentiation | XTRA | - |

Scottish Advanced Highers | M1 | Differentiation | XTRA | - |

Scottish (Highers + Advanced) | AM1 | Differentiation | XTRA | - |

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

WJEC A-Level (Wales) | C3 | Differentiation | XTRA | - |