- 1
How is the rate of change of \(f(g(x))\) related to \(f'(x)\) and \(g'(x)\)?

- 2
When and how can the inverse of a function be differentiated?

- 3
What is implicit differentiation?

- 4
How can gradients of parametric curves be found?

- 5
What is integration by substitution, and how is it related to the chain rule?

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Resource type | Title |
---|---|

Building blocks | Chain mapping |

Building blocks | Parametric preliminaries |

Building blocks | Reflecting on change |

Building blocks | Slippery areas |

Building blocks | Slippery slopes... another derivative |

Many ways problem | Implicit circles |

Resource type | Title |
---|---|

Rich example | Circular slice |

Rich example | Which substitution? |

Building blocks | Powerful derivatives |

Fluency exercise | I can see $u$! |

Fluency exercise | Integral sorting |

Fluency exercise | Parametric paths |

Fluency exercise | Parametric points |

Package of problems | Odd one out |

Many ways problem | Can you find... chain rule edition |

Scaffolded task | Differentiating exponentials |

Bigger picture | The law of reflection and saving time |