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Learn how to solve problems step by step online. Find the derivative of 6x(x^2+2)^2(x^3-1)^4+12x^2(x^2+2)^3(x^3-1)^3. 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 is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the linear function is equal to 1.
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