# HL AI – Differentiation

## Limits/Differentiation

## sin, cos, ln, e

## 2nd differential

## Tangents/Normals

## Product/Quotient

## Optimisation

## Chain Rule

## Maximum/minimum

## Differentiation Review

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### Learning Outcomes

Understand the concept of a limit from a table or graph. |

Understand that the derivative is a gradient or rate of change function, and its notation. |

Understand when functions are increasing or decreasing. |

Simple derivatives by reducing the powers, e.g axn |

Find the equations of tangents and normals to functions. |

Derivatives of sinx, cosx, lnx, and ex. |

Use and understand the chain rule and related rates of change. |

Use and understand the product and quotient rules. |

Understand the concept of maximum and minimum points. |

Find the second derivative, and use this distinguishing between maximum and minimum points |

Understand the terms concave up and concave down. |

Using differentiation for solving optimization problems. |