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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 sum rule of differentiation 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4 and g=\sec\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-2 and g=\csc\left(x\right). The derivative of the constant function (4) is equal to zero.