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$\frac{d}{dx}\left(x^2\sqrt{\left(x^2+16\right)^{3}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^2(x^2+16)^(3/2). Simplifying. 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}.