Find the derivative $\frac{d}{dx}\left(1+7\sin\left(x\right)+\tan\left(x\right)\right)$ using the sum rule

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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 sum rule of differentiation 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. The derivative of the constant function (1) is equal to zero. The derivative of a function multiplied by a constant (7) is equal to the constant times the derivative of the function. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}.