What is derivative of x^2+5y^2=5 ?

The answer to derivative of x^2+5y^2=5 is (dy)/(dx)=-x/(5y)

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derivative of x^2+5y^2=5

derivative of

x^{2} + 5 y^{2} = 5

\frac{d y}{d x} = - \frac{x}{5 y}

Solution steps

x^{2} + 5 y^{2} = 5

Treat

y

y (x)

Differentiate both sides:

2 x + 10 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x}{5 y}

\frac{d y}{d x} = - \frac{x}{5 y}

3 + sin (y) = y - x^{3}

x^{2} + 2 x y = 3 y^{2}

x^{2} + y^{2} = 9

2 x y - 4 y + 5 = 0

x = cos^{4} (t)

What is derivative of x^2+5y^2=5 ?
The answer to derivative of x^2+5y^2=5 is (dy)/(dx)=-x/(5y)