What is Derivative of Sec x?
The derivative of the sec x is (sec x ).(tan x). The derivative of sec x is the rate of change with respect to angle i.e., x. Among the trig derivatives, the derivative of the sec x is one of the derivatives. The resultant of the derivative of sec x is (sec x ).(tan x).
Derivative of Sec x Formula
The formula for the derivative of sec x is given by:
d/dx [sec x] = (sec x).(tan x)
or
(sec x)’ = (sec x).(tan x)
Derivative of Sec x
Derivative of Sec x is sec x tan x. Derivative of Sec x refers to the process of finding the change in the secant function with respect to the independent variable. The specific process of finding the derivative for trigonometric functions is referred to as trigonometric differentiation, and the derivative of Sec x is one of the key results in trigonometric differentiation.
In this article, we will learn about the derivative of sec x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule as well.