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Taking the derivative of secant function: $\frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x)$
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$\frac{d}{dx}\left(4x\right)\sec\left(4x\right)\tan\left(4x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=sec(4x). 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 a function multiplied by a constant (4) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1. Any expression multiplied by 1 is equal to itself.