# 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:

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### 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:

1. tan x is equivalent to sin x divided by cos x.
2. You have to know how the quotient rule works: read the quotient rule
3. Trigonometric Pythagoras: sin2 a + cos2 a = 1

Invoice: Example 3: x2 · Cos x

The derivative of the function x2 · Cos x is to be found. We use the product rule for this. Left:

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