# What is the derivative of 2cosx

## Cos x derivative

**We will deal with the derivation of cos x in this article. We also provide you with examples of derivations around the cosine function. This article belongs to the field of mathematics.**

The derivative of the cosine function is the sine function. We'll go back to that in a moment. Before doing this, however, you should take a look at the following derivation rules. These are needed to understand the other examples for derivation:

Show:**Cos X derivative examples**

In the following we will deal with the derivation of the cosine function and some functions that also have to do with cosine.

**Example 1: cos x**

The derivative of cos x is minus sine x.

**Example 2: tan x**

Example 2 is about the derivation of tan x. To do this, you have to pay attention to the following things:

- tan x is equivalent to sin x divided by cos x.
- You have to know how the quotient rule works: read the quotient rule
- Trigonometric Pythagoras: sin
^{2}a + cos^{2 }a = 1

Invoice:

**Example 3: x ^{2} · Cos x**

The derivative of the function x^{2} · Cos x is to be found. We use the product rule for this.

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