Using the quotient rule, we can find the derivative of sec(x) as follows:
Let y = sec(x)
Then, y = 1/cos(x)
Using the quotient rule, we have:
y’ = [(cos(x)(0)) – (1)(-sin(x))]/cos^2(x)
y’ = sin(x)/cos^2(x)
Simplifying further using trigonometric identities, we get:
y’ = sec(x) * tan(x)
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