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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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$\frac{d}{du}\left(u^2\right)+\frac{d}{du}\left(v^2\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/du(u^2+v^2) using the sum rule. 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 (v^2) 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}. Subtract the values 2 and -1.