# What is the derivative of f/g x ))?

Category:
science
space and astronomy

The chain rule states that the

**derivative of f**(**g**(**x))**is**f**'(**g**(**x))**⋅**g**'(**x**). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as**f**(**g**(**x))**for**f**(**x**)=sin(**x**) and**g**(**x**)=x².

Simply so, what is the derivative of f/g x ))?

The chain rule states that the **derivative of f**(**g**(**x))** is **f**'(**g**(**x))**⋅**g**'(**x**). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as **f**(**g**(**x))** for **f**(**x**)=sin(**x**) and **g**(**x**)=x².

**derivative of 0**is

**0**. In general, we have the following rule for finding the

**derivative**of a constant function, f(x) = a.

Herein, what is the derivative of E F X?

You have to apply the chain rule: if **f**(**x**) is a differentiable function then the **derivative of ef**(**x**) is **f**′(**x**)**ef**(**x**).

Derivative Rules

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

tan(x) | sec^{2}(x) | |

Inverse Trigonometry | sin^{-}^{1}(x) | 1/√(1−x^{2}) |

cos^{-}^{1}(x) | −1/√(1−x^{2}) | |

tan^{-}^{1}(x) | 1/(1+x^{2}) |