What is Derivative of Sec2x?

Derivative of sec²x is 2sec²xtanx. Sec²x is a composite function involving an algebraic operation on a trigonometric function. Derivative of a function gives the rate of change in the functional value with respect to the input variable, i.e. x.

In chain rule, if we need to find the derivative of f(g(x)), it is given as f'(g(x)) × g'(x). The chain rule is one of the most fundamental and used concepts in differential calculus. Formula for the derivative of sec²x can be written as follows:

Derivative of sec²x Formula

Derivative of sec2x formula is added below as,

d/dx[sec²x] = 2sec²x.tanx

We can also represnt it as,

(sec²x)’ = 2sec²x.tanx

Also Check, Trigonometric Function

It can be derived using,

• Chain Rule of Differentiation
• Quotient Rule
• First Principles of Derivatives

Now let’s learn about them in detail.

Read: Calculus in Maths

Derivative of sec²x is 2sec²xtanx. Sec²x is the square of the trigonometric function secant x, generally written as sec x.

In this article, we will discuss the derivative of sec^2x, various methods to find it including the chain rule and the quotient rule, solved examples, and some practice problems on it.