Derivative of Tan x

What is Derivative in Math?

In mathematics derivative of a function is defined as the rate of change of the function with respect to an independent variable.

What is Derivative of Tan x?

The derivative of tan x is sec²x.

What are Different Methods to Prove the Derivative of Tan x

The different methods to prove the derivative of sin x are:

• By using the First Principle of Derivative
• By Quotient Rule
• By Chain Rule

Is Derivative of Tan x and differentiation of tan x same thing?

Yes, the terms derivative and differentiation are synonymous to each other hence, derivative of tan x and differentiation of tan x are the same and equal to sec²x

What is Antiderivative of tan x?

Antiderivative of tan x is integral of tan x which is equal to log |sec x| + c

What is the Second Order Derivative of tan x?

Second Order Derivative of tan x is d²/dx²(tan x) = 2sec²x.tanx

Derivative of Tan x is sec²x. Derivative of Tan x refers to the process of finding the change in the tangent function with respect to the independent variable. Derivative of tan x is also known as differentiation of tan x.

In this article, we will learn about the derivative of Tan x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule as well.