# What is the 3rd derivative called?

Table of Contents

## What is the 3rd derivative called?

jerk j

Less well known is that the third derivative, i.e. the rate of increase of acceleration, is technically known as jerk j. Jerk is a vector, but may also be used loosely as a scalar quantity because there is not a separate term for the magnitude of jerk analogous to speed for magnitude of velocity.

**What is the derivative of 4?**

Since 4 is constant with respect to x , the derivative of 4 with respect to x is 0 .

### What is the derivative of a 2?

2 is a constant whose value never changes. Thus, the derivative of any constant, such as 2 , is 0 .

**What is the 5th derivative called?**

crackle

Summary

derivative | terminology | meaning |
---|---|---|

4 | jounce (snap) | rate of change of jerk |

5 | crackle | rate of change of jounce |

6 | pop | rate of change of crackle |

7 | lock | rate of change of pop |

#### What is the derivative of 2?

**What is the 6th derivative?**

Summary

derivative | terminology | meaning |
---|---|---|

4 | jounce (snap) | rate of change of jerk |

5 | crackle | rate of change of jounce |

6 | pop | rate of change of crackle |

7 | lock | rate of change of pop |

## What is the 5th derivative of position?

Fifth derivative : time between initial and final states. The dimensions of crackle are LT−5. In SI units, this is m/s5, and in CGS units, 100 gal per cubed second.

**What is the 8th derivative called?**

drop

Summary

derivative | terminology | meaning |
---|---|---|

5 | crackle | rate of change of jounce |

6 | pop | rate of change of crackle |

7 | lock | rate of change of pop |

8 | drop | rate of change of lock |

### How do you write a 5th derivative?

And so on (provided that all those functions are differentiable). Instead of writing f′′′′′(x) for the 5th derivative of f, we write f(5)(x).

**What is the 8th derivative of position?**

Summary

derivative | terminology | meaning |
---|---|---|

5 | crackle | rate of change of jounce |

6 | pop | rate of change of crackle |

7 | lock | rate of change of pop |

8 | drop | rate of change of lock |