Derivative of Sec
d/dx sec(x) = sec(x)tan(x)
The derivative of secant function can be found as follows:
Let y = sec(x)
Taking the derivative of both sides with respect to x:
dy/dx = d/dx(sec(x))
Using the chain rule and the identity sec^2(x) = 1/cos^2(x), we get:
dy/dx = sec(x)tan(x)
Therefore, the derivative of sec(x) is sec(x)tan(x).
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