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$\frac{d}{db}\left(\left(\sqrt{8ab}-5\sqrt{2}\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((8ab)^1/2-52^1/2)^2. Simplifying. 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 of a product is equal to the product of it's factors raised to the same power. The derivative of a sum of two or more functions is the sum of the derivatives of each function.