Find the derivative $\frac{d}{dx}\left(6x^3-4x^2+9x-1\right)$ using the sum rule

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$\frac{d}{dx}\left(6x^3\right)+\frac{d}{dx}\left(-4x^2\right)+\frac{d}{dx}\left(9x\right)+\frac{d}{dx}\left(-1\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(6x^3-4x^29x-1) 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 the linear function times a constant, is equal to the constant. The derivative of a function multiplied by a constant (6) is equal to the constant times the derivative of the function.