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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\sqrt[3]{\left(x^2-2\right)^{2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^2-2)^2^1/3. Simplify the derivative by applying the properties of logarithms. 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 the constant function (-2) is equal to zero.