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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(4\sec\left(x\right)\right)+\frac{d}{dx}\left(-2\csc\left(x\right)\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative d/dx(4sec(x)-2csc(x)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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.