** Final Answer

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** Step-by-step Solution **

Problem to solve:

** Specify the solving method

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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

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The derivative of the constant function ($25$) is equal to zero

**Step 3**. Or become premium for the price of a latte.

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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

Any expression multiplied by $1$ is equal to itself

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The derivative of the linear function is equal to $1$

**Step 6**. Or become premium for the price of a latte.

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Isolate $2y\cdot y^{\prime}$

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$x+0=x$, where $x$ is any expression

**Step 9**. Or become premium for the price of a latte.

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Simplifying the quotients

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Take $\frac{-2}{2}$ out of the fraction

**Step 12**. Or become premium for the price of a latte.

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Simplifying the quotients

** Final Answer

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