Solved example of implicit differentiation
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 ($16$) 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 $f'(x) = nx^{n-1}$
Subtract the values $2$ and $-1$
Any expression to the power of $1$ is equal to that same expression
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 $1$
Multiply $2$ times $1$
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 $f'(x) = nx^{n-1}$
Subtract the values $2$ and $-1$
Any expression to the power of $1$ is equal to that same expression
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 $y$, we can do that by subtracting $2x$ from both sides of the equation
Eliminate the $2$ from the left side, multiplying both sides of the equation by the inverse of $2$
Divide both sides of the equation by $y$
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