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Popular Calculus >

derivative of x^2+y^2=2xy

Solution

derivative of

x^{2} + y^{2} = 2 x y

Solution

\frac{d y}{d x} = 1

Solution steps

x^{2} + y^{2} = 2 x y

Treat

y

as

y (x)

Differentiate both sides:

2 x + 2 y \frac{d y}{d x} = 2 (y + x \frac{d y}{d x})

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 1

\frac{d y}{d x} = 1

Popular Examples

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derivative of x^2+y^2=6x+4y

derivative of x^2+y^2-2x=1

derivative of e^xy=2y

derivative of y^3-3xy^2=x^3+3x^2y

Frequently Asked Questions (FAQ)

What is derivative of x^2+y^2=2xy ?
The answer to derivative of x^2+y^2=2xy is (dy)/(dx)=1