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$\frac{d}{dx}\left(\left(x^{3}-x^2+1\right)^2-\left(x^{3}-x+1\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (xx^2-x^2+1)^2-(xx^2-x+1)^2. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.