We can find the derivative of sec x using the chain rule and the fact that sec x is equal to 1/cos x.
Let y = sec x
Then, y = 1/cos x
Taking the derivative of both sides with respect to x:
dy/dx = d/dx (1/cos x)
Using the chain rule:
dy/dx = -1/(cos x)^2 * (-sin x)
Simplifying:
dy/dx = sin x/(cos x)^2
Therefore, the derivative of sec x is sin x/(cos x)^2.
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