#### Introduction

- Finding derivatives manually can be difficult and time consuming.
- Luckily, there are several simple rules that can be applied to make the job a lot easier.

#### Functions

##### Polynomials

Name | Function | Derivative |
---|---|---|

Constant | ||

Straight line | ||

Quadratic | ||

Polynomial | ||

Square root |

##### Exponentials and logarithms

Name | Function | Derivative |
---|---|---|

Natural exponential | ||

Exponential | ||

Natural logarithm | ||

Logarithm |

##### Trigonometry

Name | Function | Derivative |
---|---|---|

Sine | ||

Cosine | ||

Tangent | ||

Inverse sine | ||

Inverse cosine | ||

Inverse tangent |

##### Rules

Name | Function | Derivative |
---|---|---|

Multiplication by a constant | ||

Sum rule | ||

Difference rule | ||

Quotient rule | ||

Reciprocal rule | ||

Chain rule |