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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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$\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(7\sin\left(x\right)\right)+\frac{d}{dx}\left(\tan\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative d/dx(1+7sin(x)tan(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=7 and g=\sin\left(x\right). The derivative of the constant function (1) is equal to zero. The derivative of the constant function (7) is equal to zero.