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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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$\frac{d}{dy}\left(x\tan\left(y\right)\right)+\frac{d}{dy}\left(-ze^z\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dy(xtan(y)-ze^z) 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'. The derivative of the constant function (x) is equal to zero. The derivative of the constant function (z) is equal to zero.