Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=2+\sqrt{y}$ and $g=2-\sqrt{y}$
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$\frac{d}{dy}\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)+\left(2+\sqrt{y}\right)\frac{d}{dy}\left(2-\sqrt{y}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2+y^1/2)(2-y^1/2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=2+\sqrt{y} and g=2-\sqrt{y}. 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 (2) is equal to zero.