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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x^2-4\right)\left(x+1\right)^2\left(x+3\right)\left(x-5\right)+\left(x^2-4\right)\left(\frac{d}{dx}\left(\left(x+1\right)^2\right)\left(x+3\right)\left(x-5\right)+\left(x+1\right)^2\left(\frac{d}{dx}\left(x+3\right)\left(x-5\right)+\left(x+3\right)\frac{d}{dx}\left(x-5\right)\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx((x^2-4)(x+1)^2(x+3)(x-5)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-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.