To find the derivative of sec(x), we can use the quotient rule.
First, let’s define sec(x):
sec(x) = 1 / cos(x)
Now, let’s find the derivative:
Let f(x) = sec(x)
Using the quotient rule, the derivative of f(x) is given by:
f'(x) = (cos(x) * (0) – (1) * (-sin(x))) / (cos(x))^2
Simplifying, we get:
f'(x) = sin(x) / (cos(x))^2
This is the derivative of sec(x) with respect to x.
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