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$\frac{d}{dx}\left(\frac{80}{9}+x^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 8/9+x^2+8. Simplifying. 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 (\frac{80}{9}) 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}.