# What is the derivative of sec x?

Updated on July 7, 2023

Answer: The derivative of sec x is sec x tan x.

## Calculus Concepts

In calculus, the derivative measures how a function changes as its input changes. The derivative of the secant function, sec x, can be found using the rules of differentiation, which are foundational in calculus. The derivative of sec x is sec x tan x. This comes directly from the quotient rule of differentiation.

## FAQ on Calculus

### What is the derivative of cos x?

The derivative of cos x is -sin x.

### What is the derivative of sin x?

The derivative of sin x is cos x.

### What is the derivative of tan x?

The derivative of tan x is sec² x.