Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
The derivative of the constant function ($25$) is equal to zero
The derivative of a sum of two or more functions is the sum of the derivatives of each function
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 the linear function is equal to $1$
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
We need to isolate the dependent variable , we can do that by simultaneously subtracting $2x$ from both sides of the equation
Divide both sides of the equation by $2$
Take $\frac{-2}{2}$ out of the fraction
Divide both sides of the equation by $y$