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sec(x)'

Definition

The derivative of sec(x), which represents the rate of change of the secant function with respect to x.

Analogy

Imagine you are driving a car on a curvy road. The (sec(x))' is like the steering wheel, telling you how much you need to turn at each point to stay on track.

Related terms

(sec(x)tan(x)): The product of sec(x) and tan(x), which represents the rate of change of both functions combined.

(csc(x))': The derivative of csc(x), which represents the rate of change of the cosecant function with respect to x.

(cot(x))': The derivative of cot(x), which represents the rate of change of the cotangent function with respect to x.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.