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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$2\left(\frac{2}{3}x+\frac{2}{9}y-\frac{1}{3}\right)\frac{d}{dx}\left(\frac{2}{3}x+\frac{2}{9}y-\frac{1}{3}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2/3x+2/9y+-1/3)^2. 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 (-\frac{1}{3}) is equal to zero. The derivative of the linear function times a constant, is equal to the constant.