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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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$\frac{d}{dx}\left(17\arcsin\left(x\right)\right)+\frac{d}{dx}\left(\frac{x^3}{3}\right)+\frac{d}{dx}\left(x\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(17arcsin(x)+(x^3)/3x) 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 linear function is equal to 1. The derivative of a function multiplied by a constant (17) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (\frac{1}{3}) is equal to the constant times the derivative of the function.