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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\frac{2}{3}+x$ and $g=\frac{1}{3}-x$
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$\frac{d}{dx}\left(\frac{2}{3}+x\right)\left(\frac{1}{3}-x\right)+\left(\frac{2}{3}+x\right)\frac{d}{dx}\left(\frac{1}{3}-x\right)$
Learn how to solve problems step by step online. Find the derivative of (2/3+x)(1/3-x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\frac{2}{3}+x and g=\frac{1}{3}-x. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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{2}{3}) is equal to zero.