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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
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$\frac{d}{dx}\left(x+4\right)\left(x+8\right)\left(x-12\right)\left(x+16\right)+\left(x+4\right)\left(\frac{d}{dx}\left(x+8\right)\left(x-12\right)\left(x+16\right)+\left(x+8\right)\left(\frac{d}{dx}\left(x-12\right)\left(x+16\right)+\left(x-12\right)\frac{d}{dx}\left(x+16\right)\right)\right)$
Learn how to solve problems step by step online. Find the derivative of (x+4)(x+8)(x-12)(x+16). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.