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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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$\frac{d}{dx}\left(\left(-2x+2\right)\left(x^4+4x^3+6x^2+4x+1\right)\right)+\frac{d}{dx}\left(\left(x^2-2x-3\right)\left(4x^3+12x^2+12x+4\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (-2x+2)(x^4+4x^36x^24x+1)+(x^2-2x+-3)(4x^3+12x^212x+4). 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', where f=-2x+2 and g=x^4+4x^3+6x^2+4x+1. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2-2x-3 and g=4x^3+12x^2+12x+4. The derivative of a sum of two or more functions is the sum of the derivatives of each function.