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:
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