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Exercise

$x^2-4x+2y=0$

Step-by-step Solution

1

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $x^2-4x$ from both sides of the equation

$2y=-\left(x^2-4x\right)$
2

Simplify the product $-(x^2-4x)$

$2y=-x^2+4x$
3

Divide both sides of the equation by $2$

$\frac{2y}{2}=\frac{-x^2+4x}{2}$
4

Simplify the fraction $\frac{2y}{2}$ by $2$

$y=\frac{-x^2+4x}{2}$

Final answer to the exercise

$y=\frac{-x^2+4x}{2}$

Try other ways to solve this exercise

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  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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