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$\sec\left(x\right)$
Learn how to solve differential calculus problems step by step online. sec x =\frac{cos x}{2\left(1+ sen x\right)}+\frac{cos x}{2\left(1- sen x\right)}. Math interpretation of the question. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x). The derivative of the linear function is equal to 1. The derivative of the linear function is equal to 1.