derivative of secx
To find the derivative of sec(x), we can use the quotient rule
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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