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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(e^xy\right)+\frac{d}{dx}\left(y^3\right)+\frac{d}{dx}\left(x\sin\left(y\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^xy+y^3xsin(y)) 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 (y^3) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.