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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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$\frac{d}{dx}\left(\frac{-x^3}{3}\right)+\frac{d}{dx}\left(xa^2\ln\left(x\right)\right)+\frac{d}{dx}\left(bx^2\right)$
Learn how to solve problems step by step online. Find the derivative d/dx((-x^3)/3+xa^2ln(x)bx^2) 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 a function multiplied by a constant (a^2) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (b) 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.