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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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$\frac{d}{dx}\left(x^3\right)+\frac{d}{dx}\left(-6x^2\right)+\frac{d}{dx}\left(12x\right)+\frac{d}{dx}\left(-8\right)$
Learn how to solve problems step by step online. Factor the expression x^3-6x^212x+-8. 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 (-6) is equal to zero. The derivative of the constant function (12) is equal to zero.