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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(\left(x-1\right)^3\right)+\frac{d}{dx}\left(-8\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x-1)^3-8. 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 (-8) is equal to zero. 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.