sec(x)’ =
The derivative of sec(x) can be found using the chain rule and the derivative of the cosine function
The derivative of sec(x) can be found using the chain rule and the derivative of the cosine function.
Recall that sec(x) is defined as 1/cos(x).
Using the quotient rule, we can express sec(x) as (1)/(cos(x)).
Let’s differentiate using the chain rule:
(d/dx)(sec(x)) = [(d/dx)(1)](cos(x)) – (1)[(d/dx)(cos(x))]
= 0(cos(x)) – (1)(-sin(x))
= -sin(x)
Therefore, the derivative of sec(x) is -sin(x).
More Answers:
Understanding the Chain Rule: Finding the Derivative of cosine(x)Mastering the Quotient Rule: Deriving the Secant Squared of Tan(x)
The Quotient Rule: Finding the Derivative of csc(x)