Final answer to the problem
Step-by-step Solution
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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dy}\left(\frac{u+2}{3u-y}+1\right)=\frac{d}{dy}\left(\frac{1}{y+2}\right)$
Learn how to solve differential calculus problems step by step online. Find the implicit derivative of (u+2)/(3u-y)+1=1/(y+2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The derivative of the constant function (1) is equal to zero. Any expression multiplied by 0 is equal to 0.