# What is the basic rule for finding derivatives?

## What is the basic rule for finding derivatives?

The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives. For example: The slope of a constant value (like 3) is always 0….Derivative Rules.

Common Functions | Function | Derivative |
---|---|---|

Power Rule | xn | nxn−1 |

Sum Rule | f + g | f’ + g’ |

Difference Rule | f – g | f’ − g’ |

Product Rule | fg | f g’ + f’ g |

### What are the basic rules of calculus?

How to apply the rules of differentiation

Type of function | Form of function | Rule |
---|---|---|

y = constant | y = C | dy/dx = 0 |

y = linear function | y = ax + b | dy/dx = a |

y = polynomial of order 2 or higher | y = axn + b | dy/dx = anxn-1 |

y = sums or differences of 2 functions | y = f(x) + g(x) | dy/dx = f'(x) + g'(x). |

#### What are the steps of derivative in differential calculus?

General steps: 1 Take the derivative of the function (using established derivative rules ). This is called the first derivative. 2 Take the derivative of the new function (i.e. the first derivative). This new function is called the second derivative. 3 Take the derivative a third time.

**Which is an example of a derivative in math?**

The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives. For example: The slope of a constant value (like 3) is always 0. The slope of a line like 2x is 2, or 3x is 3 etc. and so on.

**Are there rules to find the derivative of a function?**

There are rules we can follow to find many derivatives. and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below ). Note: the little mark ’ means “Derivative of”, and f and g are functions. Example: what is the derivative of sin (x) ? Example: What is x 3 ?

## How to find the derivative of x 3?

Result: the derivative of x 3 is 3x 2. Have a play with it using the Derivative Plotter. Derivatives of Other Functions. We can use the same method to work out derivatives of other functions (like sine, cosine, logarithms, etc). But in practice the usual way to find derivatives is to use: