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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
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$\frac{d}{dx}\left(x^2-3x\right)x\left(x^2+3x\right)+\left(x^2-3x\right)\left(\frac{d}{dx}\left(x\right)\left(x^2+3x\right)+x\frac{d}{dx}\left(x^2+3x\right)\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule (x^2-3x)x(x^2+3x). 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. 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.