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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{d}{dx}\left(\left(x^2+1\right)^{9}\left(x^2-1\right)^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((x^2+1)^3(x^2-1))^3. The power of a product is equal to the product of it's factors raised to the same power. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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 power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.