What is derivative of x^2+y^2+10y=4 ?

The answer to derivative of x^2+y^2+10y=4 is (dy)/(dx)=-x/(y+5)

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derivative of x^2+y^2+10y=4

derivative of

x^{2} + y^{2} + 10 y = 4

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

Solution steps

x^{2} + y^{2} + 10 y = 4

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

(e^{x})^{2}

(e^{- x})^{2}

5 z^{4} + 5

\frac{x}{cos ^{2} ( x )}

e^{2} x

What is derivative of x^2+y^2+10y=4 ?
The answer to derivative of x^2+y^2+10y=4 is (dy)/(dx)=-x/(y+5)